Algebra 1 Review

Foundations of Algebra

100

Simplify the following expression:

6(y+3)

6y + 18

200

Simplify the following expression:

-8(z+2)

-8z-16

300

Write out the following algebraic expression:

Seven times the number x = the ratio of 7 and y

7x=7/y

400

Determine if the ordered pair (3,40) is a solution for this equation:

y-6x=22

Solution

500

Determine if the ordered pair (4,18) is a solution for this equation:

5x+3=y-6

23 = 12

NO SOLUTION

Solving Equations

100

Combine Like Terms:

6x + 5 + 12x

18x + 5

200

Simplify using the distributive property:

9(y-6)

9y - 54

300

Solve for X:

7x=42

x=6

400

k/7 - 9 = 2

77

500

Solve for t:

5t - 3(t+4)=6

t=9

Simplifying Radicals/Exponents

100

Square Root of 144

12

200

Square Root of 50x

5 Sqrt of 2x

300

Square root of 64x²y² 

8xy

400

Square Root of 24x⁵

2x² Sqrt 6x

500

3 * Square Root of 120x²y

6x Sqrt 30y

Functions

100

True or false: The Domain is the X variable, Independent variable, and the ouput

False

200

This type of function is shaped like a U

Quadratic

300

What is the method used to ensure that a graphed equation is a function by checking to see if each input only has one output?

Vertical Line Test

400

Evaluate the following function:

F(x)=9x-x

F(3) =

24

500

Evaluate the following function:

F(x)=5x³

F(2) =

40

Linear Equations

100

Slope-Intercept Equation

y=mx+b

200

The point where a linear equation crosses the y-axis

y-intercept

300

What is the slope and the y-intercept of the following equation:

y=7x - 3

m = 7

b= -3

400

Write the slope intercept form equation for the line that passes through (0,6) and (4,18)

y=3x+6

500

Write the slope-intercept form equation for the line that passes through (4,6) and (7,-3)

y=-3x+18