STRAND 1 Algebra

1. This inequality can be used to find the range of possible weights, w, for a box of cereal |w – 13.5| ≤ 0.05 What is the range of weights, in ounces, for a box of cereal? Solve as “and” equation: -0.05 ≤ w – 13.5 ≤ 0.05 A. B. C. D.

w ≤ 13.55 w ≤ -13.55 13.45 ≤ w ≤ 13.55 -13.45 ≤ w ≤ -13.55

1. This inequality can be used to find the range of possible weights, w, for a box of cereal |w – 13.5| ≤ 0.05 What is the range of weights, in ounces, for a box of cereal? Solve as “and” equation: -0.05 ≤ w – 13.5 ≤ 0.05 A. B. C. D.

w ≤ 13.55 w ≤ -13.55 13.45 ≤ w ≤ 13.55 -13.45 ≤ w ≤ -13.55

2. Which expression is equivalent to: y 3 6 2y 3 y 2 3y 6 A. 2

B.

2 3

C: 2( y 3)

Change to multiplication, flip second fraction 2

3( y 2) 2

D. 3( y 3)

Factor (GCF) and cancel out common terms 2

2( y 2) 2

2. Which expression is equivalent to: y 3 6 2y 3 y 2 3y 6 A. 2

B.

2 3

C: 2( y 3)

Change to multiplication, flip second fraction 2

3( y 2) 2

D. 3( y 3)

Factor (GCF) and cancel out common terms 2

2( y 2) 2

3. This equation can be used to find the amount

of money, in dollars, that Mr. Lewis will have in his account after t years. 20,000(1.15)t How much money will he have in his account after 3 years?

A. $23,000.00 B. $30,417.50 C. $52,173.91 D. $69,000.00

3. This equation can be used to find the amount

of money, in dollars, that Mr. Lewis will have in his account after t years. 20,000(1.15)t How much money will he have in his account after 3 years?

A. $23,000.00 B. $30,417.50 C. $52,173.91 D. $69,000.00

4. Which expression is equivalent to -(x-2)-4 ? Power property: Multiply exponents

A: x1 B: 1x C: -x8 D: x8 8

8

4. Which expression is equivalent to -(x-2)-4 ? Power property: Multiply exponents

A: x1 B: 1x C: -x8 D: x8 8

8

5. What are the roots of the equation y = x2 – 3x – 28 Roots = zeros, factor using Big X (x – 7) (x + 4) = 0

A. x = 4 and x = 7 B. x = 4 and x = -7 C. x = -4 and x = 7 D. x = -4 and x = -7

5. What are the roots of the equation y = x2 – 3x – 28 Roots = zeros, factor using Big X (x – 7) (x + 4) = 0

A. x = 4 and x = 7 B. x = 4 and x = -7 C. x = -4 and x = 7 D. x = -4 and x = -7

6. Two bicycle shops rent bikes by the hour. The cost to rent a bike for h hours from each shop is represented by these functions: Shop 1: f(h) = 3h + 4 Shop 2: g(h) =2h + 11 If Ellen and Roger rented from different shops for the same amount of hours and paid the same rental costs, how many hours did they each rent their bike? Set both equations equal and solve: 3h + 4 = 2h + 11

A: 3

B: 5

C:

7

D: 25

6. Two bicycle shops rent bikes by the hour. The cost to rent a bike for h hours from each shop is represented by these functions: Shop 1: f(h) = 3h + 4 Shop 2: g(h) =2h + 11 If Ellen and Roger rented from different shops for the same amount of hours and paid the same rental costs, how many hours did they each rent their bike? Set both equations equal and solve: 3h + 4 = 2h + 11

A: 3

B: 5

C:

7

D: 25

7. Which expression is equivalent to Factor trees, take out common pairs 45 = 3 ∙ 3 ∙ 5 x9= x2 ∙ x2 ∙ x2 ∙ x2 ∙ x A: 3x3 y 2 5z 2 B: 3x 4 y 2 z 5x C: 9 x3 y 2 5z 2 D: 9x 4 y 2 z 5x

45 x 9 y 4 z 2

y4 = y2 ∙y2

7. Which expression is equivalent to Factor trees, take out common pairs 45 = 3 ∙ 3 ∙ 5 x9= x2 ∙ x2 ∙ x2 ∙ x2 ∙ x A: 3x3 y 2 5z 2 B: 3x 4 y 2 z 5x C: 9 x3 y 2 5z 2 D: 9x 4 y 2 z 5x

45 x 9 y 4 z 2

y4 = y2 ∙y2

f ( x) function

1 2( ) x is 4

8. The domain of the x ≥ 0. What is the range of the function? Exponential function: y = abx decreases if 0