Algebra, Functions and

PatternsAIMS Prep

The Jones family is planning to average 55 mph on their vacation. The travel time (t) is determined by the distance (d) traveled each day. What is the dependent variable?

a) distanceb) timec) rated) none of the above

The Jones family is planning to average 55 mph on their vacation. The travel time (t) is determined by the distance (d) traveled each day. What is the dependent variable?

a) distanceb) timec) rated) none of the above

A radioactive isotope has a half life of 1682 years and decays exponentially. Which of the following graphs represent the amount (a) of isotope left after t years?

A radioactive isotope has a half life of 1682 years and decays exponentially. Which of the following graphs represent the amount (a) of isotope left after t years?

What equation best represents the graph shown?

a) y = (x - 3)2 - 2b) y = -(x - 3)2 - 2c) y = (x + 3)2 - 2d) y = -(x + 3)2 - 2

What equation best represents the graph shown?

a) y = (x - 3)2 - 2b) y = -(x - 3)2 - 2c) y = (x + 3)2 - 2d) y = -(x + 3)2 - 2

Over which of the following intervals can the following graph be considered a function?

a) between a and cb) between a and dc) between d and ed) between c and d

Over which of the following intervals can the following graph be considered a function?

a) between a and cb) between a and dc) between d and ed) between c and d

Determine the slope and intercepts of the equation 3x - 4y - 8 = 0

a) slope = 3/4 with intercepts (0,-2) and (8/3,0)b) slope = -3/4 with intercepts (-2,0) and (0,8/3)c) slope = 4/3 with intercepts (-2,0) and (8/3,0)d) slope = -4/3 with intercepts (0,-2) and (0,8/3)

Determine the slope and intercepts of the equation 3x - 4y - 8 = 0

a) slope = 3/4 with intercepts (0,-2) and (8/3,0)b) slope = -3/4 with intercepts (-2,0) and (0,8/3)c) slope = 4/3 with intercepts (-2,0) and (8/3,0)d) slope = -4/3 with intercepts (0,-2) and (0,8/3)

Which of the following lines is perpendicular to y = 5/9 x + 2 ?

a) y = -(5/9) x + 2b) y = (5/9) x - 2c) y = -(9/5) xd) y = -(5/9) x

Which of the following lines is perpendicular to y = 5/9 x + 2 ?

a) y = -(5/9) x + 2b) y = (5/9) x - 2c) y = -(9/5) xd) y = -(5/9) x

Given triangle ABC, what is the cosine of angle B?

a) 24/25b) 7/25c) 24/7d) 25/7

Given triangle ABC, what is the cosine of angle B?

a) 24/25b) 7/25c) 24/7d) 25/7

Simplify:[ 4(6 - 22 + 5) - 6(5 - 4)2 ] /2

a) 11b) 8c) 27d) 15

Simplify:[ 4(6 - 22 + 5) - 6(5 - 4)2 ] /2

a) 11b) 8c) 27d) 15

If you simplify the expression 3(x - 2) - 6(x + 2) , the result is:

a) -3x - 18b) -3x + 6c) -3xd) -21x

If you simplify the expression 3(x - 2) - 6(x + 2) , the result is:

a) -3x - 18b) -3x + 6c) -3xd) -21x

Simplify √36 𝑥16 𝑦4

a) 18x8y2

b) 6x4y2

c) 6x8y2

d) 18x4y2

Simplify √36 𝑥16 𝑦4

a) 18x8y2

b) 6x4y2

c) 6x8y2

d) 18x4y2

Multiply (x3y2z)(x4yz3)

a) x12y2z3

b) x7y2z3

c) x7y3z4

d) x12y3z3

Multiply (x3y2z)(x4yz3)

a) x12y2z3

b) x7y2z3

c) x7y3z4

d) x12y3z3

𝐴=[ 2 3−4 −1] 𝐵=[−3 2

5 −6]The sum of A & B is:

a) b)

c) d)

𝐴=[ 2 3−4 −1] 𝐵=[−3 2

5 −6]The sum of A & B is:

a) b)

c) d)

𝐴=[ 2 3−4 −1] 𝐵=[−3 2

5 −6]Determine -3A.

a) b)

c) d)

𝐴=[ 2 3−4 −1] 𝐵=[−3 2

5 −6]Determine -3A.

a) b)

c) d)

Solve for  in the equation

a) b)

c) d)

Solve for  in the equation

a) b)

c) d)

Solve the equation

a) b) c) d)

Solve the equation

a) b) c) d)

Solve the system for x & y (Show Your Work)

Solve the system for x & y (Show Your Work)

2y = -2 y = -1

2x - 3(-1) = 7 2x - (-3) = 7 2x + 3 = 7 2x = 4

x = 2

Solution: (2, -1)

The solutions to the system of equations in the graph are approximately:

a) { (1,-3) , (-2,-6) } b) { (-1,3) , (2,6) }c) { (-1,3) , (2,4) }d) {(1,3) , (2,6) }

The solutions to the system of equations in the graph are approximately:

a) { (1,-3) , (-2,-6) } b) { (-1,3) , (2,6) }c) { (-1,3) , (2,4) }d) {(1,3) , (2,6) }

The data in the table shows the startup costs and the per unit cost for a new company that will make watches. Write an algebraic equation that describes the situation where X = the number of watches produced.

# of watches production costs startup costs total

0 $0 $10,000 $10,000

1 $10 $10,000 $10,010

10 $100 $10,000 $10,100

100 $1000 $10,000 $11,000

a) Total = $10x + $1000 b) Total = $10x + $10,000c) Total = $10,000x + $10 d) Total = $10x + $10

The data in the table shows the startup costs and the per unit cost for a new company that will make watches. Write an algebraic equation that describes the situation where X = the number of watches produced.

# of watches production costs startup costs total

0 $0 $10,000 $10,000

1 $10 $10,000 $10,010

10 $100 $10,000 $10,100

100 $1000 $10,000 $11,000

a) Total = $10x + $1000 b) Total = $10x + $10,000c) Total = $10,000x + $10 d) Total = $10x + $10

Given the graph below, what is the maximum height reached?

a) 3.5 metersb) 7 metersc) 60 metersd) 50 meter

Given the graph below, what is the maximum height reached?

a) 3.5 metersb) 7 metersc) 60 metersd) 50 meter

A basketball court is approximately twice as long as it is wide. If the width is z, which of the following equations describes the approximate area of the basketball court?

𝐴=6 𝑧 𝐴=6 𝑧2

𝐴=32𝑧 𝐴=2𝑧 2

a) b)

c) d)

A basketball court is approximately twice as long as it is wide. If the width is z, which of the following equations describes the approximate area of the basketball court?

𝐴=6 𝑧 𝐴=6 𝑧2

𝐴=32𝑧 𝐴=2𝑧 2

a) b)

c) d)

Which is the graph of

Which is the graph of