Question

for questions 1-22, match each word/phrase with its definition or example.

1. opposite integers______ a. -
2. integer______ b. reciprocal
3. greater than or equal______ c. input/x - values
4. less than or equal______ d. whole number
5. domain______ e. term
6. greater than______ f. | - a| = a
7. slope - intercept form______ g. (0, 0)
8. coefficient______ h. >
9. distributive property______ i. opposite reciprocal slopes
10. y - intercept______ j. output/y - values
11. absolute value______ k. y = mx + b
12. difference______ l. ≤
13. slope______ m. y - y₁ = m(x - x₁)
14. range______ n. equal slopes
15. parallel slopes______ o. a(b + c) = ab + ac
16. perpendicular slopes______ p. - 5, 5
17. less than______ q. (0, b)
18. each number in a sequence______ r. number in front of the variable
19. variable______ s. <
20. sum______ t. x
21. point - slope form______ u. +
22. origin______ v. 2

for questions 23 - 28, select the inequality or compound...

Explanation:

Step 1: Analyze "Opposite integers"

Opposite integers are numbers like -5 and 5, so match with P.

Step 2: Analyze "Integer"

An integer is a whole number, so match with D.

Step 3: Analyze "Greater than or equal"

The symbol for greater than or equal is ≥, but here the option is not that, wait, looking at options, maybe I made a mistake. Wait, no, the options: for "Greater than or equal" – wait, the options have L as ≤, H as >, S as <. Wait, maybe the options are mislabeled? Wait, no, let's recheck. Wait, the first question: Opposite integers – P is -5,5, correct. Integer – D is Whole number, correct. Greater than or equal – wait, maybe the option for ≥ is not here, but maybe the question's options: wait, the user's image: let's list the options again.

Options:
A. -
B. rise/run
C. Input/x - values
D. Whole number
E. Term
F. | - a| = a
G. (0,0)
H. >
I. Opposite Reciprocal Slopes
J. Output/y - values
K. y = mx + b
L. ≤
M. y - y₁ = m(x - x₁)
N. Equal slopes
O. a(b + c) = ab + ac
P. -5,5
Q. (0,b)
R. Number in front of the variable
S. <
T. x
U. +
V. 2

Wait, "Greater than or equal" – maybe the option is not present, but maybe I misread. Wait, no, the question is to match, so let's do each:

1. Opposite integers: P (-5,5) – correct.
2. Integer: D (Whole number) – correct.
3. Greater than or equal: Wait, maybe the symbol is not here, but maybe the option for ≥ is not, but maybe the question has a typo? Wait, no, let's proceed.

1. Less than or equal: L (≤) – correct.
2. Domain: C (Input/x - values) – correct.
3. Greater than: H (>) – correct.
4. Slope - Intercept Form: K (y = mx + b) – correct.
5. Coefficient: R (Number in front of the variable) – correct.
6. Distributive Property: O (a(b + c)=ab + ac) – correct.
7. y - intercept: Q ((0,b)) – correct.
8. Absolute Value: F (| - a| = a) – correct.
9. Difference: A (-) – because difference is subtraction, symbol -, correct.
10. Slope: B (rise/run) – slope is rise over run, correct.
11. Range: J (Output/y - values) – correct.
12. Parallel slopes: N (Equal slopes) – correct.
13. Perpendicular slopes: I (Opposite Reciprocal Slopes) – correct.
14. Less than: S (<) – correct.
15. Each number in a sequence: E (Term) – correct.
16. Variable: T (x) – x is a variable, correct.
17. Sum: U (+) – sum is addition, symbol +, correct.
18. Point - Slope Form: M (y - y₁ = m(x - x₁)) – correct.
19. Origin: G ((0,0)) – correct.

Answer:

1. P. -5,5
2. D. Whole number
3. (Wait, no, the options don't have ≥, but maybe the question's "Greater than or equal" is mislabeled? Wait, no, maybe I made a mistake. Wait, the user's question is to match each word/phrase with its definition or example. Let's redo each:

1. Opposite integers: P (-5,5) – correct.
2. Integer: D (Whole number) – correct.
3. Greater than or equal: Wait, the options have no ≥, but maybe the question has a typo, but according to the options, maybe the intended is something else. Wait, no, let's check the original image again. Maybe the "Greater than or equal" is a mistake, but proceed with the options.

Wait, maybe the "Greater than or equal" is not in the options, but maybe the user's image has a different set. Anyway, following the options:

1. P
2. D
3. (Wait, no, the options: for "Greater than or equal" – maybe the option is not there, but let's continue with the rest.

1. Less than or equal: L (≤) – correct.
2. Domain: C (Input/x - values) – correct.
3. Greater than: H (>) – correct.
4. Slope - Intercept Form: K (y = mx + b) – correct.
5. Coefficient: R (Number in front of the variable) – correct.
6. Distributive Property: O (a(b + c) = ab + ac) – correct.
7. y - intercept: Q ((0,b)) – correct.
8. Absolute Value: F (| - a| = a) – correct.
9. Difference: A (-) – correct.
10. Slope: B (rise/run) – correct.
11. Range: J (Output/y - values) – correct.
12. Parallel slopes: N (Equal slopes) – correct.
13. Perpendicular slopes: I (Opposite Reciprocal Slopes) – correct.
14. Less than: S (<) – correct.
15. Each number in a sequence: E (Term) – correct.
16. Variable: T (x) – correct.
17. Sum: U (+) – correct.
18. Point - Slope Form: M (y - y₁ = m(x - x₁)) – correct.
19. Origin: G ((0,0)) – correct.

So the answers are:

1. P
2. D
3. (No correct option? But maybe the user's image has a different set. Anyway, providing the correct matches as per the options.)

1. P
2. D
3. (Wait, maybe the "Greater than or equal" is a mistake, but proceed.)

1. L
2. C
3. H
4. K
5. R
6. O
7. Q
8. F
9. A
10. B
11. J
12. N
13. I
14. S
15. E
16. T
17. U
18. M
19. G

(Note: For question 3, "Greater than or equal" has no matching option in the given choices, but this might be a typo in the problem or options.)