Solving Equations Review - ALG2

Properties of Real Numbers & Writing Alg. Exp.

100

Write the algebra expression that models the phrase below:

19 less than a number x

x-19

200

What property does the equation illustrate?

7+6=6+7

Commutative property of addition

300

Classify the real number below.

pi

Irrational

400

What property of equality would you use to solve the one-step equation below?

5x = -80

Division property of equality

500

Translate to an algebraic expression:

The sum of 8 times a number z and 3

8z+3

Two-Step Equations

100

6x – 13 = 11

x= 4

200

3x + 5 = 14

x= 3

300

x/2 + 13 =-8

x= -42

400

-x/2 + 5 =10

x= -10

500

x/3 - 6 = -3

x= 9

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4 + 5x = 29

x = 5

300

12x−3−5x=3(x−1)+4x

7x-3=7x-3

or 

-3=-3

Always true! This equation has infinitely many solutions.

400

Solving Equations

24 = 2(3a + 6) 

a=2

double

500

Solving Equations

-21 = 7(5k - 8)

k = 1

switcharoo

Mixed Equations

100

Solve the literal equation below for m:

ma-t+h=fun

m=(fun+t-h)/a

200

Solving Equations

-5p + 1 = 6

p = -1

300

Solving Equations

2n+10 = 4

n = -3

400

Solving Equations

5(m-3) = 4

m = 19/5

500

3(2x+4)−5=2(3x−1)+6

7 = 4

Never true, so there is NO SOLUTION.

RANDOM

100

Simplify the expression below.

4x+30-x+2x(y+3)

2xy+9x+30

200

Evaluate the expression below when g=-7 and h=8

9g+10h+4

21

300

Equations are different from Expressions because equations have an 

equal sign

400

When solving Two Step Equations, you undo ______________, then _______________.

Addition and Subtraction. Multiplication and Division.

500

When solving something like 3(x -2) = 12

what step do you do first?

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