Prodigy

Expressions, Equations, & Inequalities

100

−19 = b − 6

b= −13

200

−n/16=2

n= −32

300

418 = −22a

a=−19

400

What is the solution of the inequality?

2x < x − 4 ≤ 3x + 8?

Inequality Form:   −6 ≤ x < −4

Interval Notation:   [−6,−4)

500

−9 = −h/12+5

h = 168

Writing Linear Equations

100

Solve each system using substitution. 

-3x-3y=3

5x+y=-17

Answer: (-4,3)

200

Solve each system using substitution. 

y=5x-7 

-3x-2y=-12

Answer: (2,3)

300

Solve each system using substitution. 

2x-3y=-1

y=x-1

Answer: (4,3)

400

Solve each system using substitution. 

y=-3x+5

5x-4y=-3

Answer: (1,2)

500

Solve each system using substitution. 

y=6x-11

-2x-3y=-7

Answer: (2,1)

Functions & Sequences

100

Which of the following pairs represents y as function of x?

1. {(1,3), (1,4), (3,4)}

2. {(1,1), (2,1), (3,3)}

3. {( 1,2), (2,2), (3,3)}

4. {( 1,1), (2,1), (2,4)}

2 & 3 only

200

Does this set represent y as a function of x?

{(-2,12), (0,8), (2,4), (4,0)}

Yes

300

Find the missing terms in the sequence. 63, 46, 29, __, -5, __, __,...

12, -22 & -39

400

If 7 is an element in the domain of f (x) = -3x+4/ 3, what is the corresponding element in the range?

-3

500

Find the formula for the _nth term of the sequence 5, 25, 125, 625,... Assume the first term corresponds to _{n =1.}

a_n = 1/5 (5)^n-1

Polynomials & Factoring

100

Factor the following polynomial:

5x² - 15x

5x (x-3)

200

Find the sum or difference:

-2L (3L-4) + 7L

-6L² + 15L

300

The measures of two sides of a triangle are given. If P is the perimeter, and P= 10x + 5y, find the measure of the third side.

2x + 2y

400

The length of a rectangle is represented by -a + 2b, and its width is represented by 6a - 4b. Write a polynomial for perimeter of the rectangle.

10a - 4b

500

The perimeter of a rectangle is 36 centimeters. The length of the rectangle can be represented by (x-2), and its width can be represented by (2x-8). What are the dimensions of this rectangle in centimeters?

L= 7.3cm

W= 10.67cm

Solving Quadratic Equations

100

Which expression is equivalent to √72?

A.) 18√2

B.) 6√2

C.) 36

D.) 18

6√2

200

8x2-4x=24

What is the negative solution to the equation?

X=-3/2

300

What value of x makes the equation?

-5(4x-2) = -2(3+6x)

x=2

400

What are the solutions to 2(x-7)²=18?

A.) x=7+√18

B.) x+√36

C.) x=10&x=4

D.) x=-12&x=15

C.) x=10&x=4

500

What is the positive solution to the equation 

0=1/4x²-4 ?

X=4