Illustrative Math Unit

7th Grade Math Review for Spring MAP

By Laken Chambers

Unit 1: Rational Numbers

You will not be allowed to use a calculator when answering these types of questions!!

​Absolute Value, Integers, & Fractions

Multiple Choice

Evaluate the expression.
|–5| + 8

• 3
• 13
• -13
• -3

Multiple Choice

Order from Least to Greatest

|-5|, 3, -4, -1

• -4, -1, 3, |-5|

• |-5|, -4, -1, 3

• -1, -4, |-5|, 3

• -4, 3, -1. |-5|

I

N

T

E

G

E

R​

​R

U

L

E

S​

Multiple Choice

-18 + 6

• -24

• 24

• -12

• 12

Multiple Choice

6 - 17

• -23

• 23

• 11

• -11

Multiple Choice

-15 - 18

• 33

• -33

• -3

• 3

Multiple Choice

16 - (-12) - 25

• -3

• 3

• -21

• -29

I

N

T

E

G

E

R​

​R

U

L

E

S​

Multiple Choice

(-9)(-8)

• -72
• 72
• 81
• -81

Multiple Choice

4(-20)

• 80
• -80
• 24
• -24

Multiple Choice

Which expression DOES NOT have a product of −18?

• −2 ∗ −9
• −6 ∗ 3
• −3 ∗ 6
• −9 ∗ 2

Multiple Choice

(-25) ÷ (-5)

• 5
• -5
• -20
• -30

Multiple Choice

44/-4=

• 11
• -8
• -11
• -1/11

Steps:

1. find common denominator

2. convert numerators

3. add or subtract numerators

4. simplify ​

​

With Unlike Denominators: ​

​

​Adding & Subtracting Fractions

Turn Mixed Numbers into Improper Fractions!!!

Do this with any operation: addition, subtraction, multiplication, or division.​

Multiple Choice

$$2\ \frac{3}{5}+\left(-\frac{1}{5}\right)$$  

• $$2\ \frac{2}{5}$$  

• $$\frac{9}{10}$$  

• $$1\ \frac{4}{35}$$  

• $$4$$  

Multiple Choice

$$-\frac{8}{5}-\frac{1}{3}$$  

• $$-1\ \frac{14}{15}$$  

• $$1\ \frac{67}{105}$$  

• $$-3\ \frac{4}{15}$$  

• $$-1\ \frac{97}{120}$$  

Multiple Choice

$$8\ \frac{7}{10}-5\ \frac{9}{10}$$  

• $$3\ \frac{1}{5}$$  

• $$2\ \frac{4}{5}$$  

• $$3\ \frac{4}{5}$$  

• $$3\ \frac{8}{10}$$  

Numerator x Numerator

Denominator x Denominator ​

​

Multiply Straight Across!!

DO NOT FIND COMMON DENOMINATOR ​

​

​Turn division problem into multiplication!!

Multiple Choice

$$\frac{5}{3}\times-\frac{13}{7}$$  

• $$3\ \frac{3}{21}$$  

• $$-\frac{4}{21}$$  

• $$-3\ \frac{3}{21}$$  

• $$-5\ \frac{83}{210}$$  

Multiple Choice

$$\frac{5}{6}\div\frac{3}{10}$$  

• $$2\ \frac{7}{9}$$  

• $$-\frac{1}{2}$$  

• $$\frac{1}{4}$$  

• $$5\ \frac{1}{8}$$  

Unit 2: Expressions & Equations

Simplifying Expressions, Solving Equations, Factoring & Inequalities

​contains variables, numbers, and at least one operation. Example: n + 2

​​Expression

​

​A statement that the values of two mathematical expressions are equal (indicated by the = sign) Example: 2x + 4 = 8

​​Equation

​

​DISTRIBUTE means to MULTIPLY

• multiply the term outside of the ( ) to each term inside the ( )

• See t​he example ------>

Multiple Choice

-6k + 7k=

• k
• -k
• 12k
• -12k

Multiple Choice

n -10 +9n -3=

• -3
• 9n-3
• n
• 10n -13

Multiple Choice

-4(k - 7)

• -4k + 28
• -4k - 28
• 4k + 28
• 4k - 28

Factoring is the opposite of distributing!!!

​

​Use the slide method! Think what divides into both terms?

Factoring

​Keep dividing until nothing else will divide into both terms. Then, MULTIPLY the numbers on the outside together and keep what is inside the ( )​

Multiple Choice

6x + 10

• 2(3 + 5)

• 2(3x + 5)

• 4(3x + 5)

• 6(x + 2)

Multiple Choice

7x - 3

• 3(7x-1)

• 3(7x)

• 7(x -3)

• can not be factored

Multiple Choice

19  + a  =  -50

• a = -950
• a =  -69
• a = -31
• a = -50/19

Multiple Choice

Solve the equation:
-5x = 25

• x = 20
• x = -20
• x = -5
• x = 5

Multiple Choice

Two-Step

Solve for p

• -2

• 2

• 6

• 3

Multiple Choice

Two-Step

Solve for a

• a= -2

• a= -6

• a= 3

• a= 15

Find the value when you plug in a value for x. Your answer will just be a number. (you are only plugging numbers in your calculator to get an answer)

​​Evaluate

​

​Combine Like Terms. (sometimes you have to distribute first if you see parentheses)

​​Simplify

​

Get x by itself. Find a solution that makes the statement true. Your answer will be x = something.

​​Solve

​

​Read each problem carefully to determine what to do!

Unit 3: Proportional Relationships

Unit Rates, Proportions, Percents, & Simple Interest

​Also known as k (constant of proportionality)

Multiple Choice

The cost of 4 pounds of grapes is $24.36. What is the constant of proportionality that relates cost in dollars, y, to the number of pounds of grapes, x?

• 6.09
• 20.36
• 8.12
• 28.36

Multiple Choice

What is the unit rate in this proportional relationship?

• 60 miles/1 hour
• 120 miles/ 2 hours
• 1 mile/ 1 hour

Multiple Choice

What is the constant of proportionality?

• 15
• 5
• 75
• 25

Multiple Choice

Which two ratios form a proportion?

• $$\frac{8}{12}\ and\ \frac{4}{8}$$  

• $$\frac{8}{12}\ and\ \frac{1}{4}$$  

• $$\frac{8}{12}\ and\ \frac{4}{6}$$  

• $$\frac{8}{12}\ and\ \frac{4}{1}$$  

Must be in the form y=kx

​- no adding or subtracting

- if it is division, variable must be on the TOP ​

​​...Equations

​

​Cross products must be the same! Look at the examples

​​...Tables

​

Must do these TWO things:​

1. be a straight line

2. go through the origin (0, 0)​

​​...Graphs

​

​How to Identify Proportional Relationships In....

Multiple Select

Which equations shows a proportional relationship? Select all that are true.

• y = 3x

• y = x + 7

• y = 2x - 1

• y = x

Multiple Choice

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Multiple Choice

Which graph is non-proportional?

• A
• B
• C
• D

Multiple Choice

Write an equation for this relationship.

• y=1/5x
• y=1/2x
• y=2x
• y=5x

Multiple Choice

On average, an adult male's body weight is about 60% water. If an adult male weighs 180 pounds, then what is his "water weight?"

• 102 pounds

• 108 pounds

• 112 pounds

• 116 pounds

Multiple Choice

Mrs. Peabody's classroom was collecting canned goods for a food drive. Her class set a goal of collecting 300 cans during the drive. At the end of the drive, her class only collected 270 cans. What percent of the goal did they meet?

• 70%

• 80%

• 90%

• 95%

Multiple Choice

Fernando had to pay $1.40 in sales tax when purchasing a shirt. If that tax rate is 7%, how much did the shirt cost?

• $17

• $18

• $19

• $20

Multiple Choice

Kim purchased a dress for $189. The dress was on sale for 75% of its original price. What was the original price of Kim's dress?

• $141.75

• $39.68

• $252

• $114

Multiple Choice

Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?

• $150
• $192
• $1350
• $1392

Unit 4: Geometry

Angle Relationships, Triangles, Area, Surface Area, Volume, and Cross Sections

​problem will tell you what angles add to

​angles are the same

​angles add to 90 degrees

​angles add to 180 degrees

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Multiple Choice

• x = 118
• x = 108
• x = 28
• x = 58

Multiple Choice

Find the area:

• 40 yd
• 40 yd²
• 80 yd²
• 18 yd²

Multiple Choice

Find the measure of the missing angle.

• 135^o
• 35^o
• 45^o
• 30^o

Multiple Choice

find the area of the circle with radius 3 cm below.

• 100 cm²
• 225 cm²
• 9 cm²
• 28.26 cm²

Multiple Choice

what is the circumference of this circle ?

• 3.14 cm 
• 37.68 cm
• 24 cm
• 68.4 cm

Multiple Choice

A car wheel has a diameter of 75 cm. What is the circumference of the wheel?

• 235.5 cm
• 245.5 cm
• 215.5 cm
• 225.5 cm

Multiple Choice

Find the area of the figure.  Use 3.14 for pi.

• 20.56

• 28.56

• 17.8

• 31.88

Multiple Choice

A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 

• 108 cm²
• 324 cm²
• 180 cm²
• 432 cm²

Multiple Choice

Find the volume. Use your formula to help you!

• 960 cm ³

• 240 cm ³

• 1920 cm ³

Unit 5: Statistics

Samples & Populations, Inferences, Variability, & Comparing Box Plots

Multiple Choice

• only 2nd period is symmetric
• both plots are symmetric
• 5th period is bimodal
• 2nd period's center is higher than 5th period

Multiple Choice

• only one of the data sets is symmetric
• the median in 1st period is greater than the median in 5th period
• the highest test score is the same in both classes
• the interquartile range is larger in 1st period than in 5th period

Multiple Choice

• only one of the data sets is symmetric
• the median in 1st period is greater than the median in 5th period
• the highest test score is the same in both classes
• the interquartile range is larger in 1st period than in 5th period

Multiple Choice

_______ is a part of a group being surveyed.

• Sample

• Population

• Random Sample

• Quartile

Multiple Choice

_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.

• Sample

• Population

• Random Sample

• Quartile

Multiple Choice

1.  Carlos wants to know the favorite sport of people at his school so he asks his baseball team.

• Biased
• Unbiased

Multiple Choice

Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?

• thirty students who are often tardy

• thirty students who are rarely tardy

• thirty of her friends

• thirty randomly selected students from her school

Unit 6: Probability

Simple Probability, Experimental and Theoretical, Compound Probability: Independent and Dependent Events, & ​Simulations

Multiple Choice

The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?

• rolling a six-sided number cube 6 times
• rolling a six-sided number cube 20 times
• spinning a spinner with 4 equal sized sections 4 times
• choosing 1 marble in a bag of 20 different colored marbles

Multiple Choice

A certain brand of TV has a 50% chance of being defective. Which model could be used to determine the probability that when two TVs are chosen, they will both be defective?

• spin a spinner with 4 equal sections
• roll a die twice
• flip a coin twice
• flip a coin, then roll a die

Multiple Choice

Layla has 2 pairs of shoes and 6 pairs of socks. If each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?

• roll a die and flip a coin
• roll a die two times
• flip a coin 6 times
• flip a coin 2 times

Multiple Choice

20 out of 35 people chose American Eagle as their favorite brand. If you were to ask 400 people, about how many would pick AE?

• 189

• 300

• 228

• 208

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent
• Dependent

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

• Independent

• Dependent

Multiple Choice

Des buys a pack of Starbursts that has 3 orange, 6 pink, 1 yellow, and 5 red Starbursts.  She puts the candy in the bowl.  If she reaches in and grabs two Starbursts without putting one back, what is the probability that she will pick a pink and then a yellow?

• 1/35
• 7/210
• 6/225
• 2/75

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16
• 1 ⁄ 2
• 1 ⁄ 4
• 1 ⁄ 8