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Chapter 114 · 2022 : B · MATH1

For the system of equations below, what is the value of x + y?

2 x−y =8

x +2y =4

A–1B4C5D20

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Chapter 114 · 2022 : B · MATH1

Which of the following is equivalent to 2 (x² − x) + 3 (x² − x)?

A5x ²−5xB5x ²+5xC5xD5x²

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Chapter 114 · 2022 : B · MATH1

Which of the following statements is true about the graph of the equation 2y − 3 x= −4 in the xy-plane?

AIt has a negative slope and a positive y-intercept.BIt has a negative slope and a negative y-intercept.CIt has a positive slope and a positive y-intercept.DIt has a positive slope and a negative y-intercept.

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Chapter 114 · 2022 : B · MATH1

The front of a roller-coaster car is at the bottom of a hill and is 15 feet above the ground. If the front of the roller-coaster car rises at a constant rate of 8 feet per second, which of the following equations gives the height h, in feet, of the front of the roller-coaster car s seconds after it starts up the hill?

Ah = 8 s + 15Bh = 15 s + $\frac {335} {8}$ Ch =8s + $\frac {335} {8}$ Dh = 15s + 8

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Chapter 114 · 2022 : B · MATH1

C h= 75 h+ 125

The equation above gives the amount C, in dollars, an electrician charges for a job that takes h hours. Ms. Sanchez and Mr. Roland each hired this electrician. The electrician worked 2 hours longer on Ms. Sanchez’s job than on Mr. Roland’s job. How much more did the electrician charge Ms. Sanchez than Mr. Roland?

A$75B$125C$150D$275

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Chapter 114 · 2022 : B · MATH1

The circle above has center O, the length of arc ADC is 5π , and x = 100. What is the length of arc ABC ?

A9πB13πC18πD $\frac {13} {2}$ π

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Chapter 114 · 2022 : B · MATH1

If 8/ x= 160, what is the value of x?

A1280B80C20D0.05

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Chapter 114 · 2022 : B · MATH1

2ax −15 = 3 (x +5) +5 (x −1)

In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a?

A1B2C4D8

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Chapter 114 · 2022 : B · MATH1

A system of three equations is graphed in the xy-plane above. How many solutions does the system have?

ANoneBOneCTwoDThree

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Chapter 114 · 2022 : B · MATH1

(ax +3)(5x ² − bx +4) = 20x³ −9x² −2x +12

The equation above is true for all x, where a and b are constants. What is the value of ab?

A18B20C24D40

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Chapter 114 · 2022 : B · MATH1

$\frac {x} {x-3}=\frac {2x} {2}$

Which of the following represents all the possible values of x that satisfy the equation above?

A0 and 2B0 and 4C–4 and 4D4

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Chapter 114 · 2022 : B · MATH1

$\frac {1} {2x+1}+5$

Which of the following is equivalent to the expression above for x > 0 ?

A $\frac {2x+5} {2x+1}$ B $\frac {2x+6} {2x+1}$ C $\frac {10x+5} {2x+1}$ D $\frac {10x+6} {2x+1}$

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Chapter 114 · 2022 : B · MATH1

The graph of the function f in the xy-plane above is a parabola. Which of the following defines f ?

A f(x) = 4 (x −3)² +1B f(x) = 4 (x +3)² +1C f(x) = (x −3)² +1

D f(x) = 3 (x +3)² +1

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Chapter 114 · 2022 : B · MATH1

y ≥ x +2

2x +3y ≤ 6

In which of the following does the shaded region represent the solution

set in the xy-plane to the system of inequalities above?

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Chapter 114 · 2022 : B · MATH1

What is the set of all solutions to the equation $\sqrt {x+2}$ =−x ?

A{−1, 2}B{−1}C{2}DThere are no solutions to the given equation

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Chapter 114 · 2022 : B · MATH1

What is the volume, in cubic centimeters, of a right rectangular prism that has a length of 4 centimeters, a width of 9 centimeters, and a height of 10 centimeters?

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Chapter 114 · 2022 : B · MATH1

4x +2 = 4

If x satisfies the equation above, what is the value of 2x +1 ?

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Chapter 114 · 2022 : B · MATH1

The figure above shows the complete graph of the function f in the xy-plane. The function g (not shown) is defined by g(x) = f(x) + 6. What is the maximum value of the function g ?

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Chapter 114 · 2022 : B · MATH1

Triangle PQR has right angle Q. If R = sin4 /5 , what is the value of tan P ?

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Chapter 114 · 2022 : B · MATH1

The graph of the linear function f is shown in the xy-plane above. The graph of the linear function g (not shown) is perpendicular to the graph off

and passes through the point (1,3). What is the value of g(0) ?

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MATH1 · 20 questions