Algebra C&C

Linear Equations

100

Solve for x+7=12

x=5

200

solve for y: 3y-4=11

y=5

300

solve for a: 2(a+3)=14

a=4

400

solve for m: 5m - 2 = 3m + 8

m=5

500

solve for x: x/3 + 5 = 2

x = -9

Graphing & Slope

100

What letter represents slope in the equation y=mx+b

M

200

Find the slope of a line passing through (0,0) and (2,6).

3

300

What is the y-intercept of the line y = -2x+7

(0,7)

400

Write the equation of a line with a slope of 4 and y-intercept of -3

y=4x-3

500

What is the slope of a horizontal line?

0

Exponents & Polynomials

100

simplify x³ x x⁴ 

x⁷

200

simplify (y²)⁵

y¹⁰

300

simplify a⁸/ a³

a⁵

400

multiply (x+2)(x+3)

x^{2 + 5x + 6}

500

evaluate 5⁰+2^-1

1.5 or 3/2

Systems of Equations

100

If y = 2x and x = 3, find the value of y

6

200

Solve the system: x + y = 10 and x - y = 4

(7,3)

300

Name three common methods used to solve a system of equations.

Graphing, Substitution, Elimination

400

Solve by substitution: y = 3x - 1 and 2x + y = 9

(2,5)

500

How many solutions does a system of parallel lines have?

no solution

Quadratics & Factoring

100

Factor out the greatest common factor (GCF): 4x² + 8x

4x(x+2)

200

Factor the trinomial: x² + 7x + 10

(x+2)(x+5)

300

What are the roots/zeros of (x-3)(x+4)=0

x=3 and x=-4

400

Name the algebraic formula used to find the roots of any quadratic equation.

The Quadratic Formula

500

Factor this difference of squares: x² - 49

(x-7)(x+7)