Math 8 Chapter 2 Mixed Equations

Translating Expressions and Equations

100

Translate: Ten times a number decreased by 2

What is 10x - 2

200

Translate into either an algebraic expression or equation:

"Seven subtracted from five times a number is equal to nine times a number."

What is 5x - 7 = 9x

300

Translate into either an algebraic expression or equation:

"Three times a number subtracted from fifteen is half the number."

What is 15 - 3x = x/2

400

Solve: A whole number has the property that when half the number is added to 15, we get the number itself.

What is 30

500

Moroccan has some money. If he spends twelve dollars, then he will have  4/ 7 of the amount he started with. How much money does he have?

What is $28

Linear Equations Level 1

100

Solve for x:

7x + 5x + 1 + 3 = 112

What is x = 9

200

Solve for x:

9(2x + 2) = -72      

What is x = -5

300

Solve for x:

5(x - 4) = 2(x + 5)

What is x = 10

400

Solve for x:

60 = -4(-6x – 3)

What is x = 2

500

Solve for t:

       2t+6___  = __3 + t   

        -7                   4

 What is t = -3

Linear Equations Level 2 and Types of Solutions

100

Solve for x:

    1/2x + 6         =       x - 3    

         3                          2

What is x = 21/2 or 10.5

200

What kind of solution/ how many solutions does the following linear equation have? (If a solution - solve)

11x – 2x + 15 = 8 + 7 + 9x

What is infinitely many solutions.

300

Matt said 2x - 7 = 2(x - 7) has infinitely many solutions. Is he correct? Justify Matt's answer or explain how he is incorrect.

He is incorrect because this equation has zero solutions. 

400

What type of solution does the following linear equation have? (If a solution - solve)

3x = -1/3x

What is one solution and x = -9

500

Solve for x:

       3___  = _1/5   

35x + 30       4x-8

What is x = 6

Equations with Fractions and Decimals

100

Solve for t:

7.3t + 22 = 2.1t - 22.2

What is t = -8.5

200

Solve for e:

1.4 + 2/5e = 3/5e - o.8

What is e = 11

300

Solve for m:

1 + 6/7m = 43

What is m = 49

400

Solve for y:

-1.6(2y + 15) = -1.2(2y - 10)

What is y = -45

500

Solve for x:

3/4(x + 8) = 1/3(x + 27)

What is x = 7.2

Mixed Review

100

What is an equivalent answer to 2^-4?

What is 1/2⁴ or 1/16

200

Convert .48 to a fraction in simplest form.

What is 12/25

300

What property is shown below?

8 * (1/8) = 1

What is the multiplicative inverse

400

What property is shown below?

(de)f = d(ef)

What is the associative property

500

Simplify:

12a¹⁴b⁶c³ 

4a⁶b³c³

What is 3a⁸b³