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. 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

Simplify the square root of 72x³y⁴.

What is 6xy² 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

Simplify 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

The Desmos formula for Line of Best Fit?

What is y₁ ~ mx₁  +  b

400

What are the solutions of the equation 

x² - 2x - 15?

What are -3 and 5?

500

The Desmos formula for Curve of Best Fit?

What is y_{1 ~} ax₁²  + bx₁ + c

Up in the Air

100

All Direct Variation Equations go through what when graphed?

What is the origin?

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.