Equations Assessment Review

Vocabulary

100

This mathematical sentence uses an equal sign to show that two expressions are equal.

equation

200

A value that makes an equation true.

solution

300

Operations that "undo" each other, like addition and subtraction or multiplication and division.

Inverse operations

400

The variable representing the quantity that can change freely in an equation in two variables.

independent variable

500

The variable whose value depends on the independent variable in an equation in two variables.

dependent variable

Equation Solving

100

Solve the equation: d + 4.5 = 8.2

d = 3.7

200

Solve the equation: 110 = 10a

a = 11

300

Solve the equation: 0.7z = 4.2

z = 6

400

Solve the equation: 0.4t = 8

t = 20

500

Solve the equation: d/13 = 8

d = 8

Word Sentences

100

Write the equation for: The sum of a number a and 13 is 27.

a + 13 = 27

200

Write the equation for: Three more than a number b equals 15.

b + 3 = 15

300

Write the equation for: Twice a number c equals 25.

2c = 25

400

Write the equation for: The product of 5 and a number d is 40.

5d = 40

500

Six less than a number e is equal to 19.

e - 6 = 19

Problem Solving

100

The total amount needed for a school trip is $4550. If $1246 is already raised, write and solve an equation to find how much more is needed.

1246 + x = 4550

$3,304 more is needed

200

Solve for z if "Three-fourths of a number z is 36."

z = 48

300

You work at the movie theater for $10 an hour, which is expressed by the equation y = 10x. Identify the independent and dependent variables.

Independent variable: x, hours worked

Dependent variable: y, total money earned

400

It costs $50 to join a gym, plus $15 per month for a membership. Write an equation in two variables that represents the total cost of joining the gym.  

y = 50 + 15x

500

A rectangle has a length of 8 inches and a width of x inches. Write and solve an equation to find the missing dimension of a rectangle given its area as 56 square inches.

8x = 56

x = 7

Solutions and Equations

100

Fill in the blank so that the ordered pair is a solution of y=3x−2: (____, 25).

x = 3

200

Is 5 a solution of the equation 2t−7=3?

Yes, it is a solution.

300

Write an equation in two variables that represents the total cost of buying x books, where each book costs $12 and there is a $5 fixed shipping fee.

y = 5 + 12x

400

Determine if (3,12) is a solution of y=4x+9?

No, it is not a solution.

500

Check if (4,13) is a solution to y=2x+5.

Yes, it is a solution.