Module II: Math

SAT Practice Test 8

A rectangle has a length of (3x+2) cm and width of (x+4) cm. If the area of the rectangle is 70 cm², what is the value of x in cm?

Mark for Review

1.3

1.5

2.8

3.5

A rectangle has a length of (3x+2) cm and width of (x+4) cm. If the area of the rectangle is 70 cm², what is the value of x in cm?

Mark for Review

1.3

1.5

2.8

3.5

A box contains 8 green marbles and 12 yellow marbles. What is the probability of drawing a green marble?

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In the triangle shown, angle a is 45∘ and angle b is 60∘. What is the measure of angle c in degrees?

Answer:

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Preview:

A quadratic function f(x)=ax²+bx+c has a vertex at (3,−4) and passes through the point (1,2). Find the values ofa, b, and c.

Mark for Review

a=, b=9, and c=9

a=−1,b=3, and c=

a=, b=−9, and c=,

a=−1,b=6,c=11

Solve for x in the equation 2x+4=16

Answer:

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Preview:

Inside a cube with sides measuring 60 cm, a sphere is perfectly encased. The sphere touches each of the cube's faces at their centers. What is the volume, rounded to the nearest cubic centimeter, of the empty space within the cube not filled by the sphere?

Mark for Review

54,932

76,143

82,323

102,903

The value of x in the equation 4x+8=20 does not satisfies which of the following inequalities?

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x<2

x=3

x≥3

x>2

A phone company charges 20 dollars per month plus 0.08 dollars per minute for calls. What function gives the total monthly cost C(m) for m minutes used?

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C(m)=0.08m

C(m)=20m

C(m)=20+0.08m

C(m)=0.08(m−20)

A ladder leans against a wall, forming a 60-degree angle with the ground. If the bottom of the ladder is 5 feet from the wall, how long is the ladder in feet?

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A sequence is defined by a_n=3n−2. What is the 10th term of this sequence?

Answer:

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Preview:

If 3x+4y=10, cx+3y=6 and c=2, what is the solution for x and y?

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x=6, y=−2

x=−3, y=1

x=4, y=−2

x=5, y=0

If 3x²−12x+11=0, which of the following could be a solutions for x?

Mark for Review

x=2−and x=2+

x=−2- and x=2+

x=2− and x=2+

A cylindrical oil drum has a radius of 3 meters and a height of 5 meters. What is the volume, in cubic meters, of this drum?

Mark for Review

35π

90π

45π

225π

The slope of line p is -2. Line q is perpendicular to line p in the xy-plane. What is the slope of line q?

Mark for Review

−

−2

Jacob jogs 8 miles each week. To improve his stamina, he plans to increase his distance. If he burns 120 calories per mile, which equation can Jacob use to find the additional miles m he needs to jog to burn an extra 600 calories?

Mark for Review

120m=600

8m=600

8+m=600

120m=720

In a farm, there are 15 cows with an average weight of 800 kg and 25 sheep with an average weight of 60 kg. What is the average weight in kg of all 40 animals in the farm?

Mark for Review

337.5

437.5

507.5

1,237.5

A sphere has a radius of 3 cm. What is the volume of the sphere?

Mark for Review

313.10

143.10

113.10

103.10

A school has 100 students with an average test score of 50%. Another school has 100 students with an average test score of 75%. What is the combined average test score for all 200 students from both schools?

Mark for Review

157.14

77.14

62.50

54.71

The scatter plot illustrates the average test scores of a school from 2005 to 2015. The vertical axis represents the average test scores, ranging from 70 to 84. Based on the scatter plot, in which year were the average test scores in the school the highest between 2010 to 2014?

Mark for Review

2010

2011

2012

2013

A circle circumscribes a square. The radius of the circle is given as units. What is the side length of the square in units?

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In a bookstore, there are 40 fantasy novels and 60 non-fiction books. What is the probability of picking a fantasy novel at random?

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Module II: Math

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For Review

Guest

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

All variables and expressions represent real numbers.
Figures provided are drawn to scale.
All figures lie in a plane.
The domain of a given function f is the set of all real numbers x for which f(x) is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below:

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3 1 2 ), enter it as an improper fraction ( 7 2 ) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

The questions in this section address a number of important math skills.

Use of a calculator is permitted for all questions. A reference sheet, calculator, and these directions can be accessed throughout the test.

Unless otherwise indicated:

All variables and expressions represent real numbers.
Figures provided are drawn to scale.
All figures lie in a plane.
The domain of a given function f is the set of all real numbers x for which f(x) is a real number.

For multiple-choice questions, solve each problem and choose the correct answer from the choices provided. Each multiple-choice question has a single correct answer.

For student-produced response questions, solve each problem and enter your answer as described below:

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn't fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn't fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as 3 1 2 ), enter it as an improper fraction ( 7 2 ) or its decimal equivalent (3.5).
Don't enter symbols such as a percent sign, comma, or dollar sign.

Module II: Math

Check Your Work

Module II: Math

Guest

Module II: Math

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