7th Grade Math Review

Number Sense

100

Evaluate r - s

r = - 16

s= - 12

-16 - (-12)

-4

200

Luca earned $425 for working 25 hours last week.  What is his hourly rate?

$17 per hour

300

What is the value of:

-2 (36/-8) + (-3)

6

400

What is the value of the expression mn/p + (-n)

m = 4

n = 9

p = -3 

-21

500

Find 8/3 divided by - 7/12

- 4 4/7 or - 32/7

Ratio and Proportion

100

The Jackson family is taking a road trip.  They travel at an average rate of 65 miles per hour.  How long will it take them to travel 520 miles (no stops along the way)?

8 hours

200

Maurice and his family are planning a vacation that involves horseback riding. Horseshoe Ranch charges a $10.95 ranch entrance fee plus $15.95 per hour to rent horses. 

What is the cost to go horseback riding for 3 hours?

10.95 plus 15.95(3)

$58.80

300

Joe records the amount of sit-ups he can do in one minute.  In week 1, he recorded 40 sit-ups.  In week 2, he recorded 48 sit-ups.  What is the percent of change from week 1 to week 2?

20% increase

400

Wholesale cost of a dining room table is $1,315.80  The markup for the table is 35%.  What is its selling price?

$1,776.33

500

A bank account has a deposit of $5,500 and it pays 3.5% simple interest each year.  After 5 years, how much interest has it earned?

$962.50

Algebraic Expressions Equations

100

Algebraic expression to represent this:

One-third the sum of three times x and 7

1/3 (3x - 7)

200

Apply the distributive property:

2/3 (42y + 21)

28y + 14

300

Factor this expression:

60x - 12

12(5x - 1)

400

Solve for x:

 4/5 x - 20 = 120

x = 175

500

Simplify:

-5(4x + 3) + 2(6x - 8)

-20x + -15 + 12x + -16

-8x + - 31

or -8x - 31

Geometry

100

What is the volume of a pyramid with 5 inch square base and a height of 8.4 inches? round to nearest hundredth

70.83 cubic inches

200

What is the formula for area of a trapezoid?

1/2 times height times the sum of the two bases (which are parallel)

300

Classify a triangle that has three different side lengths and one 90 degree angle

right scalene triangle

400

Describe the cross section of a triangular pyramid and a horizontal plane that intersects the pyramid horizontally?

triangle

500

If 1 inch represents 4 feet, what is the length on a drawing of a house that is 28 feet long?

7 inches

Probability and Statistics

100

Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 20 students from each grade is chosen. Which sampling method is best for this scenario?

simple random sample                  

systematic random sample

stratified random sample          

voluntary response sample

                                                                     

stratified random sample

It is sufficiently large, unbiased, and random

200

• A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would be interested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacher predict will participate in the program?

84 students

300

A box contains 6 red pencils, 10 blue pencils, 8 black pencils, and 4 green pencils. What is the best description of the likelihood of selecting a green pencil at random from the box?

impossible, unlikely, equally likely, likely, certain

400

Suppose a 3 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6. What are the outcomes of the complement of this event?

1,2,4,5 and 6

500

• During the first several rounds of a golfing league, Nate made par or better on 34 out of 85 holes. Based on this relative frequency, how many pars or better could he be expected to make on the remaining 150 holes? Round to the nearest whole number if necessary.

60 or better