Free Printable 7RP, 7NS, + 7EE Review

1.

Which equation is correct?

a)

$-1\cdot-1=-1$

b)

$1\cdot1=-1$

c)

$-1\cdot-1=1$

d)

$1\cdot-1=1$

2.

Which expression is equivalent to $-\frac{96}{5}$ ?

a)

$\frac{96}{-5}$

b)

$\frac{-96}{-5}$

c)

$-\left(\frac{-96}{5}\right)$

d)

$-\left(\frac{96}{-5}\right)$

3.

A puppy weighs 2 pounds at birth and 5 pounds when one month old. What is the percent increase in weight for the month?

a)

50%

b)

140%

c)

150%

d)

350%

4.

What is the decimal equivalent of $\frac{18}{11}$ ?

a)

$0.6\overline{3}$

b)

$0.\overline{63}$

c)

$1.6\overline{3}$

d)

$1.\overline{63}$

5.

A jeweler makes earrings at a proportional rate, as shown in the graph.

Which statement about the point (1, 2) on the graph is true?

a)

The point (1, 2) represents the fact that the jeweler makes one earring each hour.

b)

The point (1, 2) represents the fact that the jeweler makes two earrings each hour.

c)

The point (1, 2) represents the fact that the jeweler takes one hour to make one earring.

d)

The point (1, 2) represents the fact that the jeweler takes two hours to make one earring.

6.

A jeweler makes earrings at a proportional rate, as shown in the graph.

Which statement about the point (0, 0) on the graph is true?

a)

The point (0, 0) represents the fact that the jeweler works no hours, no earrings are made.

b)

The point (0, 0) represents the fact that the jeweler works one hour, no earrings are made.

c)

The point (0, 0) represents the opening date of the jeweler's business.

d)

The point (0, 0) represents the age at which the jeweler started making earrings.

7.

The table shows two linear expressions.

Which expression is the result of Expression 2 being subtracted from Expression 1?

a)

$19.6x+2.1y+13$

b)

$19.6x-2.1y+6.2$

c)

$-19.6x+2.1y-6.2$

d)

$-19.6x-2.1y+13$

8.

A student plays a review game in class and has 53 points at the beginning of class. In which scenario will the student have the same number of points as the beginning of class?

a)

The student answers a question correctly and wins 23 points, then answers a question incorrectly and loses 23 points.

b)

The student answers a question correctly and wins 53 points, then skips a turn, earning 0 points.

c)

The student answers a question incorrectly and loses 28 points, then answers a question correctly and wins 25 points.

d)

The student answers a question incorrectly and loses 53 points, then skips a turn, earning 0 points.

9.

Which expression is equivalent to $\left(\frac{7}{3}x+5y\right)+\left(-4y+2\right)$ ?

a)

$\frac{7}{3}x+y+2$

b)

$\frac{7}{3}x-y+2$

c)

$3\frac{1}{3}xy+2$

d)

$5\frac{1}{3}xy$

10.

What is the decimal equivalent of $\frac{-18}{15}$ ?

a)

$-1.2$

b)

$-1.3$

c)

$-1.5$

d)

$-1.6$

11.

A biscuit dough recipe uses a 3:2:1 ratio of flour to water to butter. If the chef follows the recipe and uses $4\frac{1}{3}$ cups of butter, which statement is true?

a)

The chef needs $2\frac{1}{6}$ cups of water and $1\frac{4}{9}$ cups of flour to make 8 cups of biscuit dough.

b)

The chef needs 4 cups of water and $4\frac{1}{2}$ cups of flour to make $12\frac{5}{6}$ cups of biscuit dough.

c)

The chef needs 8 cups of water and 12 cups of flour to make $24\frac{1}{3}$ cups of biscuit dough.

d)

The chef needs $8\frac{2}{3}$ cups of water and 13 cups of flour to make 26 cups of biscuit dough.

12.

A metro car in Washington, D.C. travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional, which equation represents the relationship between distance, d, and time, t?

a)

$d=\frac{3}{4}t$

b)

$d=\frac{4}{3}t$

c)

$d=3.4t$

d)

$d=4.3t$

13.

A car uses $\frac{2}{3}$ tank of gasoline to travel $15\frac{1}{2}$ miles. At this rate, how many miles can the car travel on 1 tank of gasoline?

a)

$6\frac{14}{23}$ miles

b)

$10\frac{1}{3}$ miles

c)

$22\frac{4}{5}$ miles

d)

$23\frac{1}{4}$ miles

14.

A senior class saves money for the school prom. The class currently has $400 saved and wants a total of $7,600 for the prom. The class saves $80 each day.

Which equation can be used to determine the number of days, d, it will take the class to reach its goal?

a)

80d + 400 = 7,600

b)

80(d + 400) = 7,600

c)

400(80 + d) = 7,600

d)

400d + 80 = 7,600

15.

A senior class saves money for the school prom. The class currently has $400 saved and wants a total of $7,600 for the prom. The class saves $80 each day.

How much does the class save, in total, after 25 days?

a)

$2,400

b)

$2,080

c)

$320

d)

$288

16.

If a woodworker builds $\frac{3}{7}$ chair in $\frac{3}{4}$ hour, how long does it take for the woodworker to build 1 chair?

a)

$\frac{9}{28}$ hour

b)

$\frac{4}{7}$ hour

c)

$1\frac{3}{4}$ hours

d)

$3\frac{1}{9}$ hours

17.

Which two expressions represent values greater than 0?

a)

$0.5\cdot-0.34$

b)

$5\frac{3}{4}\div-6$

c)

$-\frac{2}{3}\cdot\frac{1}{6}$

d)

$\frac{9}{12}\cdot\frac{1}{2}$

e)

$\frac{-7}{8}\div-\frac{1}{8}$

18.

Which number line demonstrates how to find the sum of 14 and −21?

a)

b)

c)

d)

19.

Two taxi drivers want to compare their hourly wages.

Which statement is true?

a)

Taxi Driver 1 has a constant of proportionality of 42.5, Taxi Driver 2 has a constant ofproportionality of 50, and Taxi Driver 1 has a larger hourly wage.

b)

Taxi Driver 1 has a constant of proportionality of 42.5, Taxi Driver 2 has a constant ofproportionality of 50, and Taxi Driver 2 has a larger hourly wage.

c)

Taxi Driver 1 has a constant of proportionality of 50, Taxi Driver 2 has a constant ofproportionality of 42.5, and Taxi Driver 1 has a larger hourly wage.

d)

Taxi Driver 1 has a constant of proportionality of 50, Taxi Driver 2 has a constant ofproportionality of 42.5, and Taxi Driver 2 has a larger hourly wage.

20.

Which expression is equivalent to $\frac{1}{5}+\left(-\frac{6}{7}\right)-\frac{3}{8}$ ?

a)

$\frac{1}{5}+\frac{6}{7}+\left(-\frac{3}{8}\right)$

b)

$\frac{1}{5}+\frac{6}{7}+\frac{3}{8}$

c)

$\frac{1}{5}-\frac{6}{7}+\left(-\frac{3}{8}\right)$

d)

$\frac{1}{5}-\frac{6}{7}+\frac{3}{8}$

21.

A brother and sister leave school at the same time, moving in opposite directions. If the brother walks away at a speed of 3.5 miles per hour, and the sister runs at a speed of 7.5 miles per hour, how far apart are they after half an hour?

a)

2.5 miles

b)

4.0 miles

c)

5.0 miles

d)

5.5 miles

22.

An experimental vehicle is able to travel $\frac{3}{8}$ mile on $\frac{1}{16}$ gallon of water. What is the rate at which the vehicle can travel?

a)

$\frac{3}{128}$ mile per gallon of water

b)

$\frac{1}{8}$ mile per gallon of water

c)

$4$ miles per gallon of water

d)

$6$ miles per gallon of water

23.

A teenager receives a monthly allowance, m. The teenager spends 30% of the allowance on gas, 45% of the allowance on clothing, and the remainder of the allowance on food. The amount the teenager spends on food can be represented by the expression, m − 0.3m − 0.45m.

Which expression also represents the amount the teenager spends on food?

a)

0.25m

b)

0.52m

c)

1.25m

d)

1.52m

24.

A teacher asks students to simplify the expression shown mentally.
$\frac{6+3}{-0.1+2.9}-\frac{1}{2}\left(2\frac{3}{4}-\frac{4}{5}\right)$
What is the best estimate of the value of the expression?

a)

$-5$

b)

$-1$

c)

$2$

d)

$8$

25.

What is the value of the expression $-3\left(2-6\right)\cdot\left(-12\div6\right)$ ?

a)

$-48$

b)

$-24$

c)

$24$

d)

$48$

26.

A calligrapher that makes $15.50 an hour addressing wedding invitations has already worked15 hours this week. Which inequality and graph represent the number of additional hours, x, the calligrapher must work to make at least $930 this week?

a)

b)

c)

d)

27.

A customer gets a 14% discount on monthly Internet service. If the customer pays $51.60 a month after the discount, what is the original price of the Internet service?

a)

$44.38

b)

$55.30

c)

$58.82

d)

$60.00

28.

Two friends purchase $2\frac{1}{2}$ pounds of pinto beans, $1\frac{1}{3}$ pounds of brussels sprouts, and 2 pounds of olives.

If the friends split the total cost evenly, what is the cost per friend of the purchased vegetables?

a)

$7.60

b)

$7.62

c)

$15.12

d)

$15.24

29.

What is the value of $-3.5-7.2-\left(-\frac{1}{2}\right)+\left(-10+3\right)$ ?

a)

$-18.2$

b)

$-17.2$

c)

$2.5$

d)

$3.2$

30.

Three family members clean the bathrooms, wash the dishes, and do the laundry. If the 3 family members split up the time equally, how much time does each person spend doing chores?

a)

$1\frac{1}{50}$ hours

b)

$1\frac{7}{10}$ hours

c)

$4\frac{3}{5}$ hours

d)

$5\frac{1}{10}$ hours

31.

Four stores run specials on gloves, as shown.

Which stores show a proportional relationship in the pricing of pairs of gloves?

a)

Stores E and F

b)

Stores E and G

c)

Stores F and G

d)

Stores F and H

32.

A student factors the expression $18x-72y+54z$ correctly. Which common factor could the student use?

a)

$4$

b)

$6xyz$

c)

$9xyz$

d)

$18$

33.

If a baseball coach purchases 3 baseball bats, 2 baseball gloves, and a pitching machine at Spend-Less Sporting Goods, what is the best estimate of how much the coach spends?

a)

$170

b)

$190

c)

$210

d)

$240

34.

A contractor measures the rectangular yard shown to determine how much fencing to order. The contractor needs to fence in the 3 sides of the yard not adjacent to the house.

Which pair of expressions represents the amount of fencing the contractor needs to order?

a)

$2x+\left(x+3.5\right)\ and\ x\left(x+3.5\right)$

b)

$3x+3.5\ and\ 2\left(x\right)+\left(x+3.5\right)$

c)

$4x+7\ and\ x+x+\left(x+3.5\right)+\left(x+3.5\right)$

d)

$6x+7\ and\ 4\left(x\right)+2\left(x+3.5\right)$

35.

A teacher asks a student to write and solve an inequality to find what numbers satisfy the statement that 3.2 more than 7 times a number, n, is less than 17.2. The table shows the student’s work.

Which statement is true?

a)

The student’s work in all of the steps is correct because all numbers less than 7 satisfy the statement.

b)

The student made a mistake writing the inequality before Step 1. The correct inequality that represents the statement is 3.2n + 7 < 17.2.

c)

The student made a mistake between Step 1 and Step 2 by subtracting 3.2 from both sides of the inequality instead of adding 3.2 to both sides of the inequality.

d)

The student made a mistake between Step 2 and Step 3 by subtracting 7 from the right side of the inequality instead of dividing both sides of the inequality by 7.

7RP, 7NS, + 7EE Review

Total questions: 35

Worksheet time: 3hrs 55mins

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