QUARTER 1 REVIEWCASE 21

BENCHMARK7th Grade Mathematics

QUESTION 1

SOLUTION 1

CIf you distribute answer C the expressions will be equivalent

QUESTION 2

SOLUTION 2

D

Answer A is wrong and answer C is wrong because 7m – 28 is not equal to 7m + 28. When you COMBINE LIKE TERMS for answer D, you get the correct answer. -5m – 29 + 12m + 17m – 29 + 17m - 28

QUESTION 3

SOLUTION 3

A

This equilateral triangle has 3 sides. The perimeter is 3x + 6 and it must be cut up into 3 equal pieces. So if we do , we will get x + 2 which is the answer the same as answer A.

QUESTION 4

SOLUTION 4

D

If you simplify all the answers they will all come out to 10a – 4. However D is 4 – 10a. Answers A B and C have a positive coefficient while D has a negative coefficient.

QUESTION 5

QUESTION 5

SOLUTION 5

D

This problem asks you to use the distributive property to solve all the answers. When you distribute (double rainbow), you should find that D is the only answer possible.

QUESTION 6

SOLUTION 6

B

Percent means out of 100. So 37.5% is equal to . Mrs. Barrett always asks you what “of” usually means and it is usually multiplication. Therefore,

QUESTION 7

SOLUTION 7

C

Increased means to add. We are adding 12.5% of M not just 12.5 so what is 12.5% of M?

12.5% of M = 0.125M

Therefore M increased by 12.5% is M + 0.125M

QUESTION 8

SOLUTION 8B

The question asks you who has the MOST. This means we are comparing numbers.

Paul ate 4 out of 6 = 4/6 = 0.66Yasmine ate 0.375Tracy ate 55% = 0.55Ronnie ate 5/6. Ronnie ate more than Paul so Ronnie is now the answer.

Yasmine ate the least so she has the most left!

QUESTION 9

SOLUTION 9D

4(x – 3) – 7x ≥ 6 (Distribute)4x – 12 – 7x ≥ 6 (Combine Like Terms)-3x – 12 ≥ 6 (Add 12 to both sides)-3x ≥ 18 (Divide by -3 and flip the sign)X ≤ -6

Remember when you multiply or divide by a negative number, your sign must flip

QUESTION 10

SOLUTION 10D

4x + 9 ≥ -11 (Subtract 9 to both sides)4x ≥ -20 (-11 – 9 =-20 INTEGER RULES)X ≥ -5 (Divide by 4)

Since 4 is a positive number, the sign stays the same.

QUESTION 11

SOLUTION 11A

We want an answer that reflects the entire student body as much as possible. Answer C and D would not fit. Answer A only asks students that eat in the cafeteria for lunch. Answer B would be the best choice since it has the word “randomly.” Answer B asks different types of students so it’s a better representation.

QUESTION 12

SOLUTION 12C

C is the only answer that is True because out of the two different classes, basketball has the highest numbers.