Factoring
Linear Equations
Absolute value
Solving quadratics
Misc
100

-30x4 - 50x2

-10x2(3x2+5)

100

State slope and y-intercept for x - 3y = 18

slope = 1/3

y-intercept = -6

100

Solve for all values of y:

72 = |9y|

y = -8 or 8

100

Solve for all values of x:

x2 + 10x + 21 = 0

x = -3 or -7

100

Express the inequality using interval notation:

x < -9 or x > 5

(-inf, -9) U (5, inf)

200

121 - 9x2

(11 - 3x)(11 + 3x)

200

Solve for x and y: 

3x - 8y = 19

3x + 5y = -46

x = -7

y = -5

200

Solve for all values of b:

|b+17| = 49

b = 32 or -66

200

Solve for all real solutions:

-x2 - 18x + 15 = -6x2

x = (9 + sqrt(6))/5 or (9 - sqrt(6))/5

200

Given f(x) = 2x2 - x, what is f(x - 2) as a simplified polynomial?

2x2 - 9x + 10
300

4x3 + 7x2 + 36x + 63

(x2 + 9)(4x + 7) 

300

Solve for x and y:

y = 6x + 2

5x - 6y = 19

x = -1

y = -4

300

Solve for all values of y:

59 = |9 - 5y|

y = -10 or 68/5

300

The length of a rectangle is 5 units more than the width. The area is 36. What is the length of the rectangle?

9

300

Find the coordinates of the vertex of the following parabola:

y = 4x2 + 56x + 188

(-7, -8)

400

x2 - 2x - 63

(x - 9)(x + 7)

400
Whiteboard markers are sold in small boxes or large boxes. Each small box has 50 markers and each large box has 350 markers. Mr. Newman bought a total of 13 boxes that have 3350 nails altogether. Write an equation to represent the number of small and large boxes purchased.

S + L = 13

50S + 350L = 3350

400

Solve for all values of x:

4|10 - 3x| + 3 = 51

x = -2/3 or 22/3
400

What are the roots of the equation 9x2 + 28 = 30x?

x = 5/3 + i sqrt(3)/3 or 5/3 - i sqrt(3)/3

400

Simplify the expression to a + bi form:

(24 + 2i)/(-3 + 7i)

-1 - 3i

500

6x2 - 23x + 7

(3x - 1)(2x - 7)

500
Ms. Tashman and Ms. Pan went shopping at Wegman's. Ms. Tashman bought 5 bananas and 7 pineapples for $43.75. Ms. Pan bought 10 bananas and 2 pineapples for $27.50. Determine the cost of each banana and pineapple.

Each banana costs $1.75 and each pineapple costs $5.

500

Solve for all values of x:

|2x+9| + 9 = 4x

x = 9

(x = 0 is extraneous)

500

Nasim has 38m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 176 square meters. List each set of possible dimensions (length and width) of the field.

11m by 16m 

OR

8m by 22m

500

Write the quadratic function in vertex form and state the vertex:

y = -3x2 + 12x - 17

y = -3(x - 2)2 - 5

Vertex: (2, -5)

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