Algebra 1: Semester 1 Review

Solving Linear Equations

100

5x = 30

What is x = 6?

200

2x - 4 = 10

What is x = 7?

300

7x - 8 = 4x + 7

What is x = 5?

400

2(x + 8) = 16

What is x = 0?

500

3(2x - 5) = x + 10

What is x = 5?

Rules of Exponents

100

(2a³)(4a²b²)

What is 8a⁵b²

200

(5x-6)(3x+2)

What is 15x² - 8x -12

300

(x⁵)³

What is x¹⁵?

400

(-6y³ + 5y⁶ - 7) + (4y⁶ -5 + 2y³)

What is -4y³ +9y⁶ -12

500

8x⁴y^-1z⁸ / -2x⁴y^-5z

What is -4y⁴z⁷

Systems of equations

100

y = 5x + 1

4x + y = 10

What is (1, 6)

200

2x + 3y = -9

4x + 4y = -20

What is (-6, 1)

300

You and a friend go to the Taco Shoppe for lunch.  You order 3 soft tacos and 3 burritos for a total cost of $11.25.  Your friend’s bill is $10.00 for 4 soft tacos and 2 burritos. Write a system of equations to determine the cost of a taco x and a burrito y.

What is

3t + 3b=11.25

4t +2b =10

400

Graph the following system of equations and name the solution.

y = -2/3x + 4

y = 1/3x + 1

What is (3, 2)

500

Graph and Shade

y< 4x - 4

y> -x + 7

What is  Check the shading

Point Slope and Slope intercept

100

Write the equation of the line in point slope form that passes through the point (5,-2) with the slope of 4/3

What is y + 2 = 4/3(x-5)

200

Write an equation of a line perpendicular to the line listed below. 

y = -1/2x - 3

What is y= 2x something

300

Write an equation in slope-intercept form of the line perpendicular to y = -1/4x + 3 that passes through the point (4, -1).

What is y = 4x - 17

400

Write an equation in slope-intercept form of the line parallel to y = 1/2x - 7 that passes through the point (4, -2)

What is y = 1/2x - 4

500

Rewrite the following equation in slope-intercept form

y-8 = -3(x + 4)

What is y= -3x - 4