Algebra Unit 1 Review

Multi-Step Equations

100

Solving Equations

-2(4x + 3) - (x - 7) = 46

What is: 

x = -5

200

Solving Equations

23 - 2(5a + 9) = 5(2a - 11)

What is: 

a = 3

300

Solving Equations

-88 = -3(4m + 5) - (1 - 3m)

What is: 

m = 8

400

-4(5k - 7) + 2k = -2(9k +5)

No Solution

500

Solving Equations

14w - 2(1-w) = 2(5w - 1)

What is:

w = 0

Proportional Equations

100

Solving Equation

4/5 = 12/(2y-3)

What is:

y = 9

200

Solving Equations

10/(a-6) = 5/6

What is:

a = 18

300

g/8 = (g-1)/10

What is:

g = -4

400

Solving Equations

(z-9)/6 = (z+7)/3

What is:

z = -23

500

Solving Equations

5/2 = (4x+21)/(x-3)

What is:

x = -19

Absolute Value Equations

100

Solving Absolute Value

r = -5  or  r = -13

|r + 9| = 4

What is:

 r = {-13, -5}

200

Solving Absolute Value

|2v - 1| = 17

What is:

v = 9 or v = -8

{-8, 9}

300

Solving Absolute Value

|x| = 14

What is:

x = 14 and x = -14

x = {-14, 14}

400

Solve: 

|8m - 8| = 40

What is:

m = 6 and m = -4

m = {-4, 6}

500

Solving Absolute Value, check your answers.

2|g - 5| + 7 = 13

What is:

g = 8  and g = 2

g = {2, 8}

Word Problems

100

The larger of two numbers is nine less than four times the smaller number.  If the sum of the two numbers is 76, find both numbers. 

x = 17

Smaller number = 17

Larger number = 59

200

Maria and Time sold candy bars for a fundraiser.  Maria sold seven less than twice the number of candy bars that Tim sold.  In total, Maria and Tim sold 137 candy bars.  How many candy bars did Maria sell?

Maria sold 89 candy bars

300

The larger of two numbers is two more than five times the smaller number.  If the sum of the two numbers is 80, find both numbers. 

x = 13

Smaller number = 13

Larger number = 67

400

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.

x = 29

Smaller number = 29

Larger number = 31

500

The length of a rectangle is two more than three times its width.  If the perimeter of the rectangle is 92, find the dimensions. 

x = 11

Width = 11m

Length = 35m

Rewrite equations

100

Rewrite the equation for y.

2x − 4y = 20

What is: 

y=1/2 x − 5

200

 Solve the equation for b.

a² + b² = c² 

What is:

b = +/- square root (c² - a²)

300

Solve the equation for h.

S = 2πr (h + r)

What is:

h = S / 2πr

400

Solve the equation for r.

I=Prt

What is:

r = I/Pt

500

Solve for h

S = 2πr² + 2πrh

What is:

h = S/2πr - r