Expressions & Equations

Combining Like Terms

100

Simplify the expression.

1.8y - 9.3y - 6.3y

-13.8y

200

Simplify the expression.

20c + 8d + 10c – 5d

30c + 3d

300

Simplify the expression.

8b – 5 + 4b² + 2b

4b² + 10b - 5

400

Simplify the expression.

18m - 9v + 6v - 7m

11m - 3v

500

Simplify the expression.

5g + 7h – 4 – 2g - 1

3g + 7h - 5

Distributive Property

100

5(6x + 9)

30x + 45

200

1.5(6t + 2)

9t + 3

300

6(3b + 7) + 5b

23b + 42

400

Is the following a true statement?  If false, what would make the statement correct?

5(3x + 6) = 15x + 6

False = distribute 5 to 6 making it 30.

500

2(2.5x + 8) = 26

x = 2

One-Step Equations

100

x + 1.6 = 8.2

6.6

200

x/5 = 13

65

300

3/4 x + 6 = 33

x = 36

400

50 = -2.5x

x = -20

500

2.4x = 63

x = 26.25

Two-Step Equations

100

10 + 3y = 22

y = 4

200

r/2-8=16

r = 48

300

2/3x + 10 = 16

x = 9

400

x/-2 - 10 = -35

x = 40

500

-2x + 7 = -32

x = 19.5

Hodge Podge

100

Simplify the expression.

-3a + b - 4a + 2b 

-7a + 3b

200

3x + 2(4x + 7)

11x + 14

300

Factor this expression (undo it)

10x + 35

5(2x +7)

400

Mark's brother is 5 years older than Mark.  Their combined ages add up to 23 .  How old is Mark?

9 years old

500

A van is rented for a family vacation.  The van rental is $75 per day, plus a $160 insurance fee.  Write an equation that could be used to find x, the number of days the van could be rented, if the family wants to spend exactly $760 for the van rental.

75x + 160 = 760