Algebra 1 Test 1 Review

Absolute Value Equations

100

Solve for x:

|x-5|=20

What is

x=25

x=-15

200

Solve for x:

|2x+6|=4

What is

x=-1

x=-5

300

Solve for x:

2|4x+5|=-4

What is

no solution

400

Solve for x:

3|-2x-6|+3=12

What is 

x=-9/2 or -4.5

x=-3/2 or -1.5

500

Solve for x:

4|6x+10|-40=52

What is

x=13/6 or 2 and 1/6

x=-11/2 or 5.5

Rewriting Literal Equations

100

Rewrite

A=bh

in terms of h

What is

h=A/b

200

Rewrite

P=Kr²

in terms of r

What is

sqrt(P/K)=r

300

Rewrite

jm/k=9-16t

in terms of m

What is

((9-16t)k)/j=m

400

Rewrite

kn=9-(p/q)

in terms of p

What is

-1(kn-9)q=p

500

Rewrite

k+2w=45k+r²

in terms of w

What is

(44k+r²)/2=w

Solving Equations

100

Solve for p:

36-7p=-7(p-5)

What is

no solution

200

Solve for p:

30+6p=7(p+6)-5

What is

p=-7

300

Solve for x:

-14-8x=-2(-3x+7)

What is

x=0

400

Solve for n:

3+5n=5(n+2)-7

What is

infinite solutions

500

Solve for x:

−3(x−1)+8(x−3)=6x+7−5x

What is

x=7

Angle Sum Equations

100

A triangle has the following angles:

70, 65, (x+53)

Knowing that they sum to 180 degrees, solve for x.

What is

x=-8

200

A triangle has the following angles:

m, 2m, (m+10)

Knowing that they sum to 180 degrees, solve for m.

What is

m=42.5

300

A polygon has the following angles:

x, (x-35), (x-46), .5x

Knowing that they sum to 360 degrees, solve for x.

What is

x=126

400

A pentagon has the following angles:

x, x, (x-45), (x-45), (x-45)

Knowing that they sum to 540 degrees, solve for x.

What is

x=120

500

A polygon has the following angles:

x, (x-3), (x+8), (x-5)

Knowing that they sum to 360 degrees, solve for x.

What is

x=90

Mystery

100

Write 0.6% as a decimal

What is

.006

200

Add the following fractions and simplify:

(8/31)+(8/10)

What is

9 and 9/155

or

164/155

300

A right triangle has the following dimensions:

Short leg: 113

Long leg: 209

Hypotenuse: ?

Find the hypotenuse length.

What is

237.592

400

Solve for x:

8x+4(4x−3)=4(6x+4)−4

What is

infinite solutions

500

Solve for x:

x²-50=14

What is

x=8

x=-8