Algebra

Chapter 4

100

Write a line for the equation

Slope=3

Y-intercept=-8

y=3x-8

200

Write an equation in Point-Slope form that passes through the given point and has the given slope.

(3,4): m=2

2(x-3)=(y-4)

300

Which lines are parallel

A. A line that passes through (5,8) and (6,10)

B. A line that passes through (4,2) and (5,3)

C. A line that passes through (9,3) and (10,4)

B & C

400

Determine whether the equation is arithmetic, if so, find the common difference.

14, 28, 42, 56, 78

No

500

f(x)= ^{x+12      if x<10}

f(x)= _{x-14          if x>10}

f(13)

-1

Chapter 5

100

Tell whether the ordered pair is a solution to the system of linear equations.

(3,9)

y=x+6

y=3x

Yes

200

Solve the system of linear equations by elimination

10=3x-y

5=2x-y

(5,5)

300

Solve the system by substitution.

y=12+x

2y=4

(-10,2)

400

Determine whether the equation is one solution, no solution, or infinitely many solutions.

x+y=14

112=8x+8y

Infinitely many solutions.

500

Tell whether the ordered pair is a solution to the inequality.

1/3x+16y<4.86y (-30,2)

Yes

Chapter 6

100

Evaluate the expression

3³

27

200

Evaluate the function for the given value of x.

y=7(2)^x; x=3

56

300

Identify the initial amount a and the rage of growth r (as a percent) of the exponential function. Evaluate the function when t=5. Round your answer to the nearest tenth.

y=780(1+0.28)^t

2,680.1

400

Solve the equation.

2^x+2=32³

x=6

500

Write an equation for the nth term. Then find a₆

a₁=3 r=7

a_n=3(7)^n-1

a₆=50,421

Chapter 7

100

Find the degree of the mononomial.

f²n⁴

Sixth degree

200

Simplify the expression

(2x-3)+(5x+14)

7x+11

300

Find the product

(4x+2)(x+3)

4x²+14x+6

400

Find the product

(4x+3)²

16x²+24x+9

500

Simplify the expression

(2x+3)³2x+3  2x+3

8x³+36²+54x+27