Expressions and Equations

One-Step EquationsWhole Numbers

100

11 = w - 5

w = 16

200

b/5=20

b = 100

300

i + 7 = 9

i = 2

400

5h = 35

h = 7

500

 45 = 9 + x

x = 36

One-Step EquationsDecimals

100

w + 4.4 = 5.3

w = 0.9

200

d - 9.8 = 13.8

d = 23.6

300

 1.2m = 9.6

m = 8

400

2.5 = j/0.4

j = 1

500

6.3 = v + 10.4

v = -4.1

Inequalities

100

Read the inequality and give one possible value:

x>2

x is greater than 2

answers for part 2 may vary

200

Read the inequality and give one possible value:

x<90

x is less than 90

300

Write an inequality for the amount of money, d, Daniel has if he has at least $7.50

d is greater than or equal to 7.50

400

Write an inequality to represent Chloe's age, a, if she is not 11 years old. 

C is not equal to 11

500

Write an inequality to represent the cost, c, of a bag of chips if it is no more than $5

C is less than or equal to 5

Algebraic Expressions

100

Write an algebraic expression:

The sum of a number c and 13 

c + 13

200

When 45 is subtracted from a number a

a - 45 

300

The product of ten and the number of papers, p, increased by 10

10p +10

400

five more than half the student's books, b

1/2 b + 5

500

seven less than one-half the number of cars Joe has. Use a - as the variable

1/2 a - 7

Mixed

100

8 ³

512

200

1/4 to the third power

1/64

300

4⁷

16,384

400

The formula for the area of a triangle is A = 1/2 (b)(h). If a triangle has a base of 10 inches and an area of 65 inches, what is its height? Use substitution.  

13 inches

500

The distance around a lake is 4.8 miles. On Monday, Sarah bikes a total of 25.3 miles around the lake. Write a multiplication equation with a variable to find the numbers of times Sarsh biked around the lake.

4.8 b = 25.3

Algebraic Properties

100

What is the inverse of addition?

Subtraction

200

What is the inverse of division?

Multiplication

300

What does it mean for operations to have an inverse relationship?

They undo each other. Examples: 

+11 and -11

\times 7 and \div 7

400

Describe the relationship between the properties of equality and equations.

The properties of equality state that if you do the same operation by the same number on both sides of a balanced equation, the equation will remain balanced.

500

Which property of equality would you use to solve the following algebraic equation?

5x=20

The Division Property of Equality