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Isolate the Variables

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

A symbol, usually a letter, used to represent a number in mathematical expressions or sentences.

a)

term

b)

constant

c)

variable

d)

equation

2.

To set apart, detach, or separate.

a)

term

b)

constant

c)

isolate

d)

equation

3.

Isolating a variable in a literal equation requires the use of ______ to undo the operations connected to it.

a)

an eraser

b)

inverse operations

c)

apps that solve it for you

4.

Which set of steps can you use to isolate y in the equation?

a)

IN THIS ORDER:

Divide both sides by 7.

b)

IN THIS ORDER:

Subtract 2x on both sides.

Divide both sides by 7.

c)

IN THIS ORDER:

Subtract 7y on both sides.

Divide by 2 on both sides.

5.

To solve an equation, the goal is to __________ the variable on one side.

a)

Evaluate

b)

Leviate

c)

Isolate

d)

Reciprocate

6.

Solve for y in terms of x: 3x - 4y = 10

a)

y = -3x + 10

b)

y = 0.75x + 2.5

c)

y = -3/4x + 10

d)

y = 3/4x - 2.5

7.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation? 

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

8.

When solving an equation, our goal is to:

a)

add all the numbers together.

b)

use a calculator.

c)

eat lunch.

d)

isolate the variable to solve.

9.

x = 20

x = 7

x = 10

x = 3

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

10.

Solve:

a)

96

b)

-96

c)

4

d)

-4

11.

What would be the best first step to solving the equation in one step?

a)

multiply both sides by 3/2 

b)

divide both sides by 3

c)

multiply both sides by 3

d)

subtract 2/3  from both sides

12.

what is the first step in the substitution method?

a)

Step 2

b)

isolate one of the variables in one of the equations

c)

substitute in the value of the isolated variable into the other equation

13.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

14.

In order to solve an equation, we must get variables on one side of an equation, and constants on the opposite side.

a)

False

b)

True

15.

To isolate something in an equation you need to use the ​ (a)   operation to leave the variable​ (b)   on one side of the equation.​

Choose from the below words

inverse

by itself

with other numbers

same