Equations Review

Which of the following are basic rules used for solving algebraic equations?

• Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

• Negative signs can be ignored

• Always start on the left side, regardless of where the variable is

• Always do the opposite operation

Tags

CCSS.6.EE.B.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?

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

• Add 7 to both sides.

  The solution is x = 19.

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

Tags

CCSS.6.EE.B.7

 $16\ =\frac{k}{11}$  

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

• Divide both sides by 11

• Multiply both sides by 11.

• Add 11 to both sides.

• Subtract 11 to both sides.

Tags

CCSS.6.EE.B.7

Solve for x in the following equation:

20.5 = x + 4

• 16.5

• 16.05

• 24.5

• 24.05

Tags

CCSS.6.EE.B.7

Solve for z in the following equation:

z - 33 = 147

• z= 114

• z = 177

• z = 180

• No Solution

Tags

CCSS.6.EE.B.7

Which equation best describes the situation below?

5 less than a number is 15.

• x - 5 = 15

• 5 - x = 15

• 15 - x = 5

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Which equation best describes the situation below?

Two more than 4 times a number is -18.

• 4x + 2 = -18

• 2x + 4 = -18

• 18 = 4x +2

Tags

CCSS.HSA.CED.A.3

Solve for x in the following equation:
 $\frac{x}{-4}$  = 9

• 13

• 36

• -36

•  $\frac{-4}{9}$  

Tags

CCSS.6.EE.B.7

What is the solution to:  $5x+3=33$  

•  $x=-6$  

•  $x=\frac{36}{5}$  

•  $x=30$  

•  $x=6$  

Tags

CCSS.7.EE.B.4A

Solve the equation:  $\frac{1}{8}a-4=10$  

•  $a=-112$  

•  $a=\frac{7}{4}$  

•  $a=48$  

•  $a=112$  

Tags

CCSS.7.EE.B.4A