Algebra 1- SOL Review

Expressions & Equations

100

What is the simplified form of -2(4x + 3) + 4(-2x - 1) + 2?

What is -16x - 8?

200

What is the value of the expression x³ - y - 8 when x = 4 and y = 19?

What is 37?

300

Evaluate this expression when x = -5: 2|x - 2| + 3

What is 17?

400

Tasha earns $9 per hour at her job plus a car allowance of $25 per day. Yesterday she earned a total of $88. Write an equation you could use to find the numbers of hours, h, she worked.

What is 9h + 25 = 88?

500

The perimeter of a rectangle with a length of x and a width of 5x is 60 cm. What is the value of x?

What is x = 5?

Systems of Equations

100

What is the solution to this system of equations? 4x + 3y = 3 and y = 1

What is (0,-1)?

200

What is the solution to this system of equations? -5x + 4y = -16 and x + 4y = 8

What is (4,1)?

300

What is the solution to this system of equations? 

-x + 3y = -6

 and

 -5x + 3y = 6

What is (-3, -3)?

400

What is the solution to this system of equations? -2x + 3y = -9 and x + y = 2

What is (3, -1)?

500

What is the solution to this system of equations? 2x + 3y = -9 and x = -3

What is (-3, -1)?

Exponents & Roots

100

Completely factor the square root of 72x³y⁴.

What is 6xy^{2 times the square root of 2x?}

200

What is the simplified form of (15x^-3y²) / (5x²y^-1)?

What is (5y³) / x⁵ ?

300

What is the value of

 (-4)³ ▪ 2^x ▪ 5^y 

when x = -2 and y = 2?

What is -400?

400

Simply completely: [24x³y^-2a^-3] divided by [6x^-2a^-3]

What is 4x⁵ / y²

500

What is the value of [(12z² + 16^{- 5}) / 863²]⁰ ?

What is 1?

Polynomials & Factoring

100

What is the product of y(-6y² + 2y - 4)?

What is -6y³ + 2y² - 4y?

200

What is the factored form of 4x² - 100?

What is 4(x + 5)(x - 5)?

300

What is the simplified form of (-x³ + 3x) + (2x² - 1) - (-x² + 7)?

What is -x³ + 3x² +3x - 8?

400

What are the solutions of the equation x² - 2x - 15?

What are -3 and 5?

500

Divide: 6x^{2 - x - 2 by 2x + 1}

What is 3x - 2?

Up in the Air

100

What is the y-intercept of the line described by the equation 3x - y = 6?

What is (0, -6)?

200

What is the slope of the line that passes through points (3, 3) and (5, 9)?

What is m = 3?

300

Write this equation in slope/intercept form: -2x -3y = 18

What is y = 2/3x - 6

400

What is the line of best fit for these ordered pairs? (67, 8.5) (70, 9.5) (73.5, 11) (75, 12) (78,13) (66,8)

What is y=0.42x -19.81

500

List the domain and range values of this relation and tell whether it is a function or not: {(3,2) (4,1) (-5,2) (-3,4) (4,7)}

Domain: {3, 4, -5, -3, 4} Range: {2, 1, 2, 4, 7} It is NOT a function, because the x values repeat.