Álgebra
Ecuaciones lineales, funciones cuadráticas, desigualdades y transformaciones.
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25. subtract: $\begin{array}{r}5x^2 - 3\\ - (2x + 4)\\ hlineend{array}$…
\(5x^{2}-2x - 7\) If you want solutions for other problems (like 26, 27, etc.), the general steps are: 1. Distribute the negative sign to each term in the polynomial being subtrac…
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multiply. \\(\\frac{x - 1}{x^2 - 5x + 6} \\cdot \\frac{x^2 - x - 2}{4x …
$\frac{x+1}{4(x-3)}$ (or $\frac{x+1}{4x-12}$ when expanded)
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simplify the expression: 7 + 3c + 2 - 5
\( 3c + 4 \)
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solve for f. \\(\\frac{f}{2.05} - 4.39 < 3.21\\)
\(f < 15.58\)
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factor $x^4 + 5x^2 + 6$ completely. all factors in your answer should h…
$(x^2 + 2)(x^2 + 3)$
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solve for m. 633 - m ≤ -331
$m \geq 964$
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simplify the expression: -1 + -8z + -6z + -7z - 6 + 5z
$-16z - 7$
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factor $x^4 - 13x^2 + 36$ completely. all factors in your answer should…
$(x-2)(x+2)(x-3)(x+3)$
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solve for m. 552 < -19 - m
\( m < -571 \)
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simplify the expression: 5d - d + 10 + 10 + 4
\(4d + 24\)
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factor $x^4 - 5x^2 + 4$ completely. all factors in your answer should h…
$(x - 1)(x + 1)(x - 2)(x + 2)$
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solve for a. \\(\\frac{a}{-8} + 540 > 545\\)
\( a < -40 \)
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simplify the expression: 10 + 3 - 2 - 2 + 5g + 9
\( 5g + 18 \)
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factor $x^{4}+14x^{2}+49$ completely. all factors in your answer should…
$(x^2 + 7)^2$
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simplify the expression: 7 + 3b - 10 + 3b - 4b + 10
\( 2b + 7 \)
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factor $x^4 - 2x^2 + 1$ completely. all factors in your answer should h…
$(x - 1)^2(x + 1)^2$
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solve for b. \\(\\frac{b}{-15} + 764 \\leq 769\\)
$b \geq -75$
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multiply. \\(\\frac{7}{4x + 28} \\cdot \\frac{8x + 56}{5}\\) simplify y…
$\frac{14}{5}$
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factor ( x^4 + 20x^2 + 100 ) completely. all factors in your answer sho…
$\boldsymbol{(x^2 + 10)^2}$
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solve for w. \\(\\frac{w}{-1} - 12.88 \\geq -8.54\\)
\( w \leq -4.34 \)
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factor $x^{4}+12x^{2}+36$ completely. all factors in your answer should…
$(x^2 + 6)^2$
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simplify the expression: 6q + 6q + 10q + 9q + q
\( 32q \)
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solve for k. 10 + 2k > 1.9
\( k > -4.05 \)
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16. you are making gluten-free baked goods for a bake sale. one type of…
\( 7n \leq 28 \)
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solve for d. 19.74 < 1 - d
\( d < -18.74 \)
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solve for v. -8.04 > -2.04 - v
\( v > 6 \)
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15. choose efficient methods a test has 50 questions, with 25 questions…
\(p \geq 80\) (or \(100 - p \leq 20\) which is equivalent, but \(p \geq 80\) is a more direct inequality for her earned points)
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25. apply math models emily took an airplane trip. her plane flew an eq…
The equation is \(12m = 2184\) (or \(m=\frac{2184}{12}\))
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multiply. \\(\\frac{8y}{5b^4} \\cdot \\frac{b^5 y}{6y^3}\\) simplify yo…
$\frac{4b}{15y}$
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bruce wants to make 50 ml of an alcohol solution with a 12% concentrati…
For the 10% alcohol solution: 30 ml For the 15% alcohol solution: 20 ml
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unit 4 progress check: mcq questions 1 and 2 refer to the following. ma…
D. a stateless nation
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solve for g. 865 - g > 68
$g < 797$
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8) -2x + 12y = 18 4x - 2y = 30
The solution to the system of equations is \(x = 9\) and \(y = 3\), or as an ordered pair \((9, 3)\).
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bruce wants to make 50 ml of an alcohol solution with a 12% concentrati…
\( 0.10x + 0.15(50 - x) = 0.12(50) \) (the fourth equation)
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solve for the variable 1 ( x + 6 = 14 ) 2 ( y - 9 = 3 ) 3 ( 4a = 20 ) 4…
\( x = 5 \) \( y = 9 \) \( a = 5 \) \( b = 30 \) \( m = 14 \)
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13. gabe has 6 more baseball cards than football cards. he has fewer th…
The inequality for the number of football cards \( f \) is \( f + 6 < 125 \) (or equivalently \( f < 119 \)).
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ii.iii 38. what is the purpose of the porter? why would shakespeare inc…
The Porter provides comic relief, offers social commentary (mocking vice and the hell - like castle), and balances the play’s tone. Shakespeare includes him to ease tension after …
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simplify. \\(\\dfrac{9u^2 - 4}{3u^2 + 19u - 14}\\)
$\frac{3u+2}{u+7}$ (with restrictions $u eq \frac{2}{3}, -7$)
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solve for f. 503 < 803 - 3f
\( f < 100 \)
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simplify the expression: -4f + -3 + -3f + -5f - 7
\(-12f - 10\)
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solve for k. \\(\\frac{k}{2} - 1 < 4\\)
\(k < 10\)
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20. \\(\\frac{x}{3} = 294\\)
\( x = 882 \)
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solve for n. 100 > 68 - n
\( n > -32 \)
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simplify the expression: 5r + -7r
\(-2r\)
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question 1 of 4 which of the following is not a factor that makes peopl…
A. child marriage
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which of the following is an example of a land resource? ○ cow ○ factor…
cow
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which equations matches the graph above? $h(x) = -(x)^2 - 4$ $h(x) = (x…
$h(x)=(x+4)^2-1$
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simplify the expression: -6f - f + -f - 8f
\( -16f \)
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solve for y. \\(\\frac{y}{31} - 2 \\geq 1\\)
\(y\geq93\)
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solve for p. \\(\\frac{p}{3} + 96 \\leq 97\\)
\(p\leq3\)
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finding positive or negative domains question determine the domain on w…
\(-4 < x < -1\)
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a society decides that it needs to produce more corn to feed the growin…
analyze existing resources, such as water availability
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due jan 9 25 points 77 replies, 77 unread exit card: hamilton v jeffers…
Example response (aligned with Hamilton): I agree most with Alexander Hamilton. His push for a strong federal government and the creation of a national bank laid the foundation fo…
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determining central ideas read the passage. then answer the question th…
- They are sad about their bloody deed. - They had to kill Caesar to save Rome.
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which of the following best illustrates deciding how to produce a speci…
A. Should we produce jeans with expensive machinery or less expensive labor?
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solve for u. -77 ≥ -45 - u
\( u \geq 32 \)
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use the fact that 56 × 18 = 1008 to determine the product of 5.6 × 1.8 …
$10.08$
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the three questions of economics best help in making decisions about pr…
production
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solve for h. 36 > -42 - h
\( h > -78 \)
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solve for b. 5b - 48 ≤ 7
\( b \leq 11 \)
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resources needed to provide goods or services are called factors of pro…
factors of production.
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domain: (the image shows a number line from -5 to 5 with a blue line se…
$-3 \leq x \leq 3$ (or in interval notation: $[-3, 3]$)
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select all the expressions that are equivalent to \\(\\left(10^{4}\ igh…
10²⁴, 5²⁴·2²⁴, (10⁶)⁴
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solve for j. 9 ≥ 17 - j
$j \geq 8$
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31. 7x = 21 - x + x + x 8x = 21 32. 4 - 20 = 16x 33. 10 - 9 = 16 - 5 34…
31. $x=3$ 32. $x=-1$ 33. $x=\frac{2}{3}$ 34. $z=-\frac{1}{4}$ 35. $a=\frac{23}{4}$ 36. $n=\frac{40}{33}$ 37. False (the equation is not valid) 38. $x=-\frac{3}{4}$ 39. $x=\frac{6}…
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select all the expressions that are equivalent to $5^{-2} \\cdot 4^{-2}…
B. $\frac{1}{20^2}$, D. $20^{-2}$
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one of the three economic questions deals with deciding what goods and …
A. what goods and services should be produced.
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write an expression for \10 times the product of 12 and 14\ evaluate.
Expression: $10 \times (12 \times 14)$ Evaluated value: $1680$
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select all the expressions that are equivalent to $3^7 \\cdot 3$. $\\le…
$(3^4)^2$, $\frac{3^8}{3^0}$
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5 bags of candy cost $17.50, then how much did you pay per bag?
$\$3.50$
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solve for c. -1c + 18 ≤ 19
\( c \geq -1 \)
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directions: select a vocabulary term from the box that best completes e…
expenditure
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6. draw an area model for \\(\\frac{3}{4}\\). write an equivalent fract…
An equivalent fraction of $\frac{3}{4}$ is $\frac{6}{8}$ (we can also have other equivalents like $\frac{9}{12}$, $\frac{12}{16}$, etc. by multiplying numerator and denominator by…
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solve for a. 8 > 1 - a
\(a > - 7\)
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semester 1: unit 2 exam review 15. solve the system of equations and ve…
$x=2$, $y=-1$
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solve for b. \\(\\frac{b}{-19} + 13 \\leq 14\\)
\(b \geq -19\)
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does the text contain a vague pronoun reference? they have discovered t…
yes
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semester 1: unit 2 exam review 14. rewrite $4x - 2y = 12$ into slope-in…
a) slope: $2$ b) y-intercept: $-6$
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stage 2: simplifying expressions (medium) simplify each expression. 1 3…
\( 8x \) ### Problem 2: \( 7y-2y \)
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semester 1: unit 2 exam review 12. what is the solution to the given sy…
$x=4$, $y=1$ (or the ordered pair $(4, 1)$)
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solve for m. -8 < 1 - m
\(m < 9\)
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does the text contain a vague pronoun reference? tom felt better about …
no
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does the text contain a vague pronoun refer? they are researching a hyb…
yes
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solve for q. \\(\\frac{q}{-1} - 6 < -8\\)
$q > 2$
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101. daniel sent them the transcript from his old college, but he still…
yes
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what is the minimum age for children to work in tobacco fields in virgi…
B. 12
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create an equivalent expression for 3.5(1.5 +7).
$3.5 \times 1.5 + 3.5 \times 7$ (or $5.25 + 24.5$)
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solve for r. 8 < \\(\\frac{r}{5}\\) + 10
\( r > -10 \)
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simplify: \\frac{u^{2}-2u + 1}{5u^{2}-30u + 25}
$\frac{u-1}{5(u-5)}$ (or $\frac{u-1}{5u-25}$ when expanded)
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solve for p. -3 ≤ -7 - p
\( p \leq -4 \)
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solve the system of equations \\(\\begin{cases} -3x + y = 12 \\\\ 6x - …
The system of equations has no solution.
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15. t ÷ 15 = -3
\( t = -45 \)
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solve for z. 4 - 2z > 18
$z < -7$
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solve for g. 5g - 3 < -8
\( g < -1 \)
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select the correct answer. which word or phrase correctly completes thi…
A. album
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solve for d. -1d - 8 < -5
\( d > -3 \)
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select the correct answer. which term correctly completes this conversa…
D. la supprimer
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solving mixture problems the hardcover version of a book weighs 7 ounce…
\( 5(45 - h) \) (the third option)
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in the wrong hands, which of the following pieces of personal informati…
d. social security number
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\\begin{cases} x + y = 4 \\\\ -x - y = 6 \\end{cases}
The system of equations has no solution.