Quiz about Grade 7 - Expressions and Equations Master

Question 1

Enter the value of p so that the expression 3(4+n) is equivalent to 3(n+p).

Accepted Answer

p = 4

Answer

p = 3

Answer

p = 5

Answer

p = 2

Question 2

Select all expressions that are equivalent to 5x+(x+6)+3x.

Accepted Answer

6x+6+3x

Accepted Answer

9x+6

Answer

8x+6

Answer

5x+6+3x

Question 3

Tracy had a total of 200 to spend while shopping. She has already spent 134 on clothes.She wants to buy some video games that are on sale for $20 each, including tax. What is the maximum number of video games Tracy can buy with the remaining money?

Accepted Answer

6

Answer

3

Answer

4

Answer

5

Question 4

Which number line shows the solution to the inequality -2x - 3 > -11?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 5

Which number line shows the solution to the inequality 4x - 3 > -7?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 6

A dance instructor earns $75 for teaching 3 classes. The instructor receives a 10% raise. How much does the instructor earn, in dollars, per class after the raise?

Accepted Answer

$27.50

Answer

$25

Answer

$30

Answer

$22.50

Question 7

Which statement identifies and explains the first mistake Tamara made?

Step 1: $$0.2\left(4+1.4y-2.1\right)$$

Step 2: $$4.2\ +1.6y-1.9$$

Step 3: $$4.2\ -1.9+1.6y$$

Step 1: $$2.3\ +1.6y$$

Accepted Answer

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

Answer

Her first mistake was in Step 2. She should have only added 0.2 to 4 instead of adding 0.2 to all 3 terms.

Answer

Her first mistake was in Step 3. When reordering the terms, the 1.6y should be negative and the 1.9 should be positive.

Answer

Her first mistake was in Step 3. When reordering the terms, 1.9 should be the coefficient of y rather than 1.6.

Question 8

Enter the value of 3.4 * (6 + 12).

Accepted Answer

61.2

Answer

54.2

Answer

68.2

Answer

72.2

Question 9

Which number line shows the solution to the inequality x + 1 > 5?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 10

Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.

Accepted Answer

36

Answer

24

Answer

48

Answer

30

Question 11

Cindy bought 4 boxes of cereal and 2 gallons of milk for a total cost of $24.18. Each box of cereals cost 4.30. Enter the cost, in dollars, of 1 gallon of milk.

Accepted Answer

3.49

Answer

2.99

Answer

4.99

Answer

5.49

Question 12

A group of 8 friends each buy 1 ticket and 1 small popcorn at the movie theater. Each ticket costs $7.50. The group of friends spend total of $83.60. Enter the cost of 1 small popcorn.

Accepted Answer

The cost of 1 small popcorn is $2.95

Answer

The cost of 1 small popcorn is $2.50.

Answer

The cost of 1 small popcorn is $4.00.

Answer

The cost of 1 small popcorn is $3.50.

Question 13

A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves cost $8.00. The gardener spends a total of $300 on both rakes and gloves. Enter an equation that models the situation with r, the cost of 1 rake.

Accepted Answer

12r + 96 = 300

Answer

r + 8 = 300

Answer

12r + 8 = 300

Answer

r + 96 = 300

Question 14

Identify all expressions equivalent to $$\frac{3}{4}\cdot8\div2-1$$ .

Accepted Answer

$$6\div3$$

Accepted Answer

$$-1+3$$

Accepted Answer

$$4\cdot\frac{3}{4}-1$$

Answer

$$\frac{3}{4}\cdot8\div1$$

Question 15

Select all expressions equivalent to $$\frac{1}{2} \cdot 4 + 1 + 5 + 6 - 0.5$$ .

Accepted Answer

B. 14 + 6 + $$\frac{1}{2}$$

Accepted Answer

C. $$\frac{1}{2} \cdot 4 + 5 + 3$$

Answer

A. 15 + 5 + 3

Question 16

The 7th grade has 220 students. Three-fifths of the students are girls. How many boys are in the 7th grade?

Accepted Answer

88 boys

Answer

132 boys

Answer

92 boys

Answer

128 boys

Question 17

Jon has saved $$30. He earns $$ 7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. What is the minimum number of hours Jon must work in order to buy the plane ticket to Florida?

Accepted Answer

36.67 hours

Answer

36 hours

Answer

40 hours

Answer

37 hours

Question 18

Cindy bought 4 boxes of cereal and 2 gallons of milk for a total cost of $$24.18. Each box of cereal costs $$ 4.30. What is the cost, in dollars, of 1 gallon of milk?

Accepted Answer

$2.49

Answer

$3.00

Answer

$4.00

Answer

$5.00

Question 19

Identify all expressions equivalent to $$\frac{3}{4} \cdot 8 + 2 - 1$$ .

Accepted Answer

6 + 3

Accepted Answer

$$\frac{3}{4} \cdot 8 + 1$$

Answer

-1 + 3

Answer

$$\frac{4}{4} - 1$$

Question 20

Select all expressions equivalent to $$\frac{1}{2} \cdot 4 + 1 \cdot 5 + 6 \cdot 0.5$$ .

Accepted Answer

15 + 5 + 3

Accepted Answer

14 + 6 + $$\frac{1}{2}$$

Accepted Answer

$$\frac{1}{2} \cdot 4 + 5 + 3$$

Question 21

The 7th grade has 220 students. Three-fifths of the students are girls. How many boys are in the 7th grade?

Accepted Answer

88 boys

Answer

132 boys

Answer

92 boys

Answer

128 boys

Question 22

What is the value of y in the equation 2y - 4 = 10?

Accepted Answer

y = 7

Answer

y = 5

Answer

y = 8

Answer

y = 6

Question 23

Simplify the expression: 4(2x + 3)

Accepted Answer

8x + 12

Answer

8x + 9

Answer

6x + 12

Answer

8x + 6

Question 24

If 5a = 20, what is the value of a?

Accepted Answer

a = 4

Answer

a = 5

Answer

a = 3

Answer

a = 6

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