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Pre-Algebra Course Test (problems: 1 - 40)

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Practice Test Problem List
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Problem 1

Which of the signs can be used to relate the two expressions?

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Problem 2

Janet is painting her fence, which is 26 m long. If she has already finished 12 m, how many more meters of fence have to be painted?

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Problem 3

Which of the following inequalities can be used to express the phrase, "more than 50 apples were sold"?

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Problem 4

Which of the following expressions is equivalent to 910 95?

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Problem 5

Which of the following graphs shows the integers that can replace a in the given equation?

|a| = 5

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Problem 6

What is the expression for the model shown in the figure?

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Problem 7

Which of the following number sentences represents the product shown on the number line?

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Problem 8

Cindy has $625 in her bank account. She deposits $425, and later she withdraws $510. What is the balance in her bank account after all these transactions?

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Problem 9

What is the average (mean) of the first 10 whole numbers?

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Problem 10

In which of the following graphs is A(2, 6) plotted?

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Problem 11

What is the smallest digit that can replace and makes the number divisible by 3?

84,706

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Problem 12

What is the product (12 105)(4 109) in scientific notation?

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Problem 13

A person's weight on the Moon varies directly with their weight on Earth. A person who weighs 180 pounds on Earth weighs 30 pounds on the Moon. What is the weight of a person on the Moon who weighs 240 pounds on Earth?

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Problem 14

A solution (x, y) of the equation y = cx + 2 is (1, 4). What is the value of c?

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Problem 15

What is the slope of the line shown?

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Problem 16

Two brothers bought a watch at $74.85. They had $16.15 left after buying the watch. How much money did they have before buying the watch?

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Problem 17

The line segments p and q are of the same length. What is the value of x in centimeters?

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Problem 18

A card is in the shape of a rectangle. The length of the card is 7 cm and the area of the card is 35 sq cm. What is the width of the card in centimeters?

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Problem 19

What is the solution of the equation ?

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Problem 20

Lara has 35 m of wire to make a triangular fence. The length of one side is 15.7 m and that of another side is 10.76 m. How much wire will remain for the third side?

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Problem 21

What is the simplest form of the expression ?

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Problem 22

What is the simplest form of the expression ?

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Problem 23

What is the multiplicative inverse of ?

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Problem 24

One of the largest US stock market drops occurred on September 7, 2000. On this day, the stock market opened at 2100.24 points and closed at 1810.12 points. What was the approximate percent of decrease?

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Problem 25

Parallelograms PQRS and WXYZ are similar. What is the value of x?

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Problem 26

What number is 47% of 1,000?

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Problem 27

What is the value of g that satisfies the proportion ?

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Problem 28

What is the value of x in the figure?

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Problem 29

If p is parallel to q, what is the value of x?

m4 = 3x + 10 and m5 = x + 50

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Problem 30

What is the value of x if x + 20 is complement to x + 10?

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Problem 31

What is the sum of the measures of the interior angles of a nonagon?

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Problem 32

Which of the following numbers is equivalent to the expression ?

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Problem 33

The product of five and a number y, is less than –30. What is the value of y that satisfies the inequality?

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Problem 34

What is the distance between the two points (5, –3) and (3, 9)?

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Problem 35

What are the coordinates of Q, if the midpoint of is (2, 4) and the coordinates of P are (5, 9)?

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Problem 36

The length of a rectangle is 3 times the width and its area is 108 square units. What is the length of the rectangle?

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Problem 37

If the perimeter of a square is 64 units, what is the area of the square?

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Problem 38

What is the area of a circle of diameter 42 cm? Use as an approximation for π.

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Problem 39

The triangle PQR is similar to ΔTSU. What is the missing length x in the triangle TSU?

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Problem 40

Which of the graphs shown represents the solution of the given system of linear inequalities?

y 3x – 3 and y –x + 5

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