Algebra 1: Equations Review

Multi-Step Equations

100

Solve the equation:

4x+3=7

x=1

200

Solve the equation:

4(6+5x)=124

x=5

300

Solve the equation:

112 = -8(x + 6)

x=-20

400

Solve the equation:

7y+20=4y +11

y=-3

500

Solve the equation:

4(g+4)=4+g

g=-4

Absolute Value Equations

100

Solve the Absolute Value Equation:

|6r + 6| = 0

 r = -1

200

Solve the Absolute Value Equation:

|10x - 3| = 27

x = 3  or  x = -2.4

300

Solve the Absolute Value Equation:

|3x + 9| -10 = -4

x = -5   or   x = -1

400

Solve the Absolute Value Equation:

-2|3x + 1| = -20

x = 3  or  x = -3.7

500

Solve the Absolute Value Equation:

|k + 5| = -14

No Solution

Literal Equations

100

Solve the equation for r:

I=Prt

r=I/(Pt)

200

Solve the equation for z:

r -z=j

z=r-j

300

Solve the equation for g:

3g -9+6r=12k

g=4k+3-2r

400

 Solve the equation for h:

(7r + h)/2 = w

h=2w-7r

500

Solve the equation for y:

-16x+4y=20

y=4x + 5

Proportions

100

Solve for the variable:

(9/x)=(6/5)

x=7.5

200

Solve for the variable:

(x/12)=(4/9)

x=5.3

300

Solve for the variable:

(y+1)/3=(4/3)

y=3

400

Solve for the variable:

((w+9)/2)=(2/6)

w=-8.3

500

Solve for the variable:

(5/6)=((r-7)/10)

r=15.3