Regents Review

Dan took 12.5 seconds to run the 100-meter dash. He calculated the time to be approximately

Select all that apply

A
0.2083 minute
B
750 minutes
C
0.2083 hour
D
0.52083 hour

The graph below represents a jogger’s speed during her 20 - minute jog around her neighborhood. Which statement best describes what the jogger was doing during the 9 - 12 minute interval of her jog?

Select all that apply

A
She was standing still.
B
She was increasing her speed.
C
She was decreasing her speed.
D
She was jogging at a constant rate.

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Is the sum of 3 and 4 rational or irrational? Explain your answer.

Which statement is not always true?

Select all that apply

A
The sum of two rational numbers is rational.
B
The product of two irrational numbers is rational.
C
The sum of a rational number and an irrational number is irrational.
D
The product of a nonzero rational number and an irrational number is irrational.

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When (2x - 3) is subtracted from 5x, the result is

Select all that apply

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If the difference (3x - 2x + 5) - (x + 3x - 2) is multiplied by ½ x2, what is the result, written in standard form?

When 3x + 2 5(x - 4) is solved for x, the solution is

Select all that apply

A
B
C
x-11
D

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Given that a > b, solve for x in terms of a and b:

The inequality 7 - (2/3)x is equivalent to

Select all that apply

A
x > 9
B
x >
C
x < 9
D
x <

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What are the solutions to the equation 3x + 10x = 8?

Select all that apply

A
2/3 and - 4
B
-2/3 and 4
C
4/3 and - 2
D
-4/3 and 2

Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation can be used to find the number of boxes, x, Kendal bought?

Select all that apply

A
2x - 12 = 60
B
12x - 2 = 60
C
12x - 24 = 60
D
24 - 12x = 60

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Sara was asked to solve this word problem: “The product of two consecutive integers is 156. What are the integers?” What type of equation should she create to solve this problem?

Select all that apply

A
Linear
B
Quadratic
C
Exponential
D
Absolute Value

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Joe has a rectangular patio that measures 10 feet by 12 feet. He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x. Which equation could be used to determine x?

Select all that apply

A
(10 + x)(12 + x) = 120
B
(10 + x)(12 + x) = 180
C
(15 + x)(18 + x) = 180
D
(15)(18) = 120 + x

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Shawn incorrectly graphed the inequality - x - 2y 8 as shown below.

The sum of two numbers, x and y, is more than 8. When you double x and add it to y, the sum is less than 14. Graph the inequalities that represent this scenario on the set of axes below.

On the set of axes below, draw the graph of y > x

- 4x - 1.

State a point that is a solution to the inequality graphed above.

The Celluloid Cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system of equations could be used to determine how many adult tickets, a, and how many child tickets, c, were sold?

Select all that apply

A
a + c = 150 10.25a + 7.75c = 1470
B
a + c = 150 7.75a + 10.25c = 1470
C
a + c = 1470 10.25a + 7.75c = 150
D
a + c = 1470 7.75a+ 10.25c = 150

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Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

Select all that apply

A
6
B
8
C
10
D
12

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