Fundamentals Summative Review

Multi-Step Equations

100

-9.5b - 5 + 4.5b = 20

b = -5

200

(2c - 1)/3 = -1

c = -1

300

-2/3(4b + 1) = 10

b = -4

400

-3(4x + 3) + 4(6x + 1) = 43

x = 4

500

Find three consecutive even integers whose sum is 30.

8, 10, 12

Variables on Both Sides Equations

100

2x = 11x + 45

x = -5

200

0.7m = 0.9m + 2.4 - 0.2m

No Solution

300

3/4x=1/2+2/3x

x = 6

400

14 - (2q + 5) = -2q + 9

Infinitely Many Solutions

500

Tom Holland's sand castle is 188cm tall but the wind is blowing away sand at a rate of 8cm per minute. Britney Spears' sand castle is 160cm tall and she is adding sand to it at a rate of 6cm per minute. After how many minutes will their sand castles be the same height?

2 minutes

Literal Equations

100

Solve for x.

2x+8=-4y

x=-2y+4

200

Solve for a.

z-a=y

a=-y+z

300

Solve for m.

K=2/3(p+m)

m=3/2K-p

400

Solve for a.

(a+b)/c=d

a=cd-b

500

Solve for h.

W=1/2ph^2

h=sqrt((2W)/p

Absolute Value Equations

100

abs(x-4)=6

x=10 or x=-2

200

-4 abs(3z-2)=-16

z=2 or z=-2/3

300

3 abs(4x-2)+7=4

No Solutions

400

abs(2x-7)=x+4

x=11 or x=1

500

abs(3x+6)=abs(x-10)

x=-8 or x=1