Fundamental Algebra Chapter 1 Review

Using a Problem-Solving Plan

100

Find the next term in 12,17,22,27,32,....

37

200

Use the table.  How many people were between the ages of 5 and 24?

Age            Number of People

Under 5            30,940

5 to 9               34,127

10 to 14           38,376

15 to 19           41,903

20 to 24           33,455

25 to 34           59,854

147,861

300

I am a 3 digit number.

All of my digits are even.

I am less than 500.

I am greater than 400.

If you add my digits you get 16.

My last digit is 8.

What am I?

488

400

At basketball practice, each player must pass the ball to every other player present at least once.  If there are 21 players at practice, what is the minimum number of passes required?

420

500

Each month, Joe's car cost $112 for insurance, $67 for maintenance, and $235 for gas.  About how much does it cost Joe to drive his car for a year?

$4968

Numbers/Variables and Expressions

100

6 + 8 - 2

12

200

9(2 + 1) - 12

15

300

u + 4v, if u = 9 and v = 4

25

400

Nine increased by two

9 + 2

500

r decreased by 7

r - 7

Properties

100

Name the property of addition shown.

(5 + 3) + 7 = 5 + (3 + 7)

Associative

Identity

Commutative

Substitution

Associative

200

Name the property of addition

4 + 0 = 4

Associative

Identity

Commutative

Substitution

Identity

300

Simplify

8 + (n - 7)

n + 1

400

Which property allows you  to move numbers and variables around in an expression?

Identity 

Associative

Commutative

Multiplicative Property of Zero

Commutative

500

Rewrite the expression (7 * m) * 8 using the Associative Property.

7 * (m * 8)

Variables and Equations

100

Find the solution

m - 4 = 7

11

200

The difference of a number and 12 is 16.  Find the number.

28

300

Find the solution 

c + 12 = 30

18

400

Twenty-four is the product of 8 and a number.

3

500

Megan purchased movie tickets for herself and two friends.  The cost was $24.

Define a variable, then write an equation that can be used to find how much Megan paid for each ticket.

What was the cost of each ticket?

Variable: t
Equation: 3t = 24

Cost per ticket? $8

Ordered Pairs and Relations/Scatter Plots

100

Name the ordered pairs from the Table below.

x     3, -5, 7, -2, 0

y     5, -1, 3, -2, 6

(3, 5), (-5, -1), (7, 3), (-2, -2),(0, 6)

200

Name the three types of relationships shown by scatter plots

Positive

Negative

No relationship

300

Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship.

The size of a household and the amount of the water bill

Positive

400

Determine whether a scatter plot of the data for the following might show a positive, negative, or no relationship.

As the age of a car increases, the value of the car decreases?

Negative

500

Using a scatter plot allows us to predict certain trends?

True or False

True