Question

algebra 1 unit 2 test warm - up

1. solve the following equations. show all steps.

name
block
a) $\frac{x}{12}=8$
b) $15x - 45 = 75$

1. graph the inequality: $x > - 14$
2. write the inequality represented by the situation: the zoo has at most 8 tigers.

Explanation:

Step1: Solve equation a

Multiply both sides by 12.
$x = 8\times12$

Step2: Calculate value of x in a

$x=96$

Step3: Solve equation b

Add 45 to both sides.
$15x=75 + 45$
$15x=120$

Step4: Divide by 15 in b

$x=\frac{120}{15}$
$x = 8$

Step5: Graph inequality

Draw an open - circle at - 14 on number line and shade to the right.

Step6: Write inequality for situation

Let $t$ be number of tigers. Then $t\leq8$.

Answer:

1. a) $x = 96$

b) $x = 8$

1. Graph: Open - circle at - 14, shade right on number line.
2. $t\leq8$