Algebra Review

Substitution in Expressions

100

If x = -2 then simplify:

3x + x²

-2

200

x = 3, z = -1

4x - z

13

300

x = 2, y = 5, z = -4

x² + y² + z

25

400

r = -4, w = -1

2( r + w) - w(2 + 3)

-15

500

t = 3, r = 4, w = -1

w(r - t) / w

1

Equations

100

An equation and an expression are different because of what?

equations have an equal sign, expressions do not.

200

solve for x

3x = 6

x = 2

300

solve for x

2x + 4 = 24

x = 10

400

solve for x

2(x - 7) + 6 = 72

x = 40

500

If w = -5, solve for x

-1(w + x) = 5(w + x)

x = 5

Slope and Y-Intercept

100

What number is the slope, and what number is the y-intercept?

y = -1/4x + 5

m = -1/4

b = 5

200

Set up the slope intercept equation for the following story:

The flat fee for the Uber driver is $10.00.  After that he charges $1.25 for every mile.  

y = 1.25x + 10

300

Solve for y

-2x - y = 18

y = -2x - 18

400

On your whiteboards, graph the following line:

y = 3x - 2

(See Mrs. Bridges must be a positive slope that starts at -2 and goes up 3 and forward 1)

500

Rearrange the following equation, then graph it on your whiteboard.

y - 4 = -3(x - 3)

y = -3x + 13

(slope needs to start at 13 and be negative (down 3 and over 1)

Systems of Equations

100

Plot the following equations and write down the answer to the system of equations.

y = 4x + 3

y = -x - 2

(-1, -1)

200

Plot the two equations and write down the answer to the systems of equations:

y = -1

y = -5/2x + 4

(2, -1)

300

Rearrange, plot, and write down the answer to the systems of equations:

-2x + y = -4

x = 1

(1, -2)

400

Rearrange, plot, and solve the systems of equations:

4x + 3y = 3

y = 1

(0, 1)

500

-3x + 2y = 8

5x + 2y = -8

(-2, 1)

Miscellaneous

100

What is the name of the property that allows the 2 to multiply by the x and the 4?

2(x + 4)

a: associative

b: distributive

c: commutative

b: distributive

200

Round to the nearest hundredth (two places past the decimal).

5.67289

5.67

300

Round to the nearest hundredth:

3.79994

3.80

400

You are running your own snow plow service this winter.  You charge a base fee of $20.00 and $0.75 for every minute after that.  If you work for 90 minutes at one house, how much money did you earn?

$87.50 was made at the one house.

500

You take an Uber ride home.  The man driving charges a base fee of $10.50.  After that he charges $1.75 per mile.  You ask him to take you 43 miles.  How much will he charge you?

$85.75 for the ride home.