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Algebra 1 Course Test (problems: 1 - 40)

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Practice Test Problem List
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Problem 1

What is the solution of the equation ?

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Problem 2

The admission fee at a small fair is $1 for children and $5 for adults. On a certain day, 1000 people entered the fair and $1,500 was collected. How many children attended the small fair on that day?

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Problem 3

What is the slope of the line whose function f satisfies f(1) = 6 and f(4) = –8?

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Problem 4

The triangle PQR is a right triangle. What is the value of x in the triangle PQR?

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Problem 5

What percent of 160 is 20?

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Problem 6

The area of the parallelogram PQRS is given by the polynomial x2 + x – 42.

If the length of the side is given by x + 7, what is the distance between the line segments and ?

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Problem 7

If the x-intercepts of a parabola are 1 and –5, what is the equation of the axis of symmetry?

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Problem 8

A bag contains 3 red balls, 4 black balls and 5 green balls. One ball is picked up from the bag randomly. What is the probability of getting a red or a green ball?

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Problem 9

Which of the following graphs represents y as a function of x?

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Problem 10

What is 3,400,000 in scientific notation?

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Problem 11

What is the greatest common factor (GCF) of 14 and 49?

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Problem 12

What is the simplest form of the expression

?

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Problem 13

What is the distance between the two points (3, 2) and (–5, 6)?

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Problem 14

What is the solution of the equation ?

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Problem 15

Which graph represents the solution of the inequality 8x 32?

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Problem 16

Which graph represents the solutions of the equation | m – 1| = 4?

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Problem 17

What is the simplest form of the expression

?

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Problem 18

What is the equation of axis of symmetry for the parabola y = 12x2?

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Problem 19

If one letter is chosen at random from the letters in the word "example", what is the probability of choosing the letter "x"?

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Problem 20

What is the value of x that satisfies the proportion ?

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Problem 21

Jim bought 7 books. Some books cost $10 each and some cost $20 each. In all, he spent $210. Which system of linear equations represents the given situation?

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Problem 22

What are the possible values of x if the distance between the points (x, 8) and (–5, 3) is units?

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Problem 23

What is the slope of the line shown?

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Problem 24

Which system of linear inequalities defines the shaded region?

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Problem 25

Which of the following points lies on the graph of the function

y = 2(3)x?

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Problem 26

Which of the following graphs represents the parabola

y + 3 = 2x2 + 4x +2?

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Problem 27

What is the simplest form of the expression

?

(Disregard values which for which the original expression is undefined.)

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Problem 28

What is the value of p in the equation

?

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Problem 29

What is the complete factorization of the polynomial 64x3 – 121x?

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Problem 30

Which of the following statements is true about the given system of linear equations?

xy = 2

–2x + 2y = –1

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Problem 31

What is the equation of variation if y = 18 when x = 6, and y varies directly as x?

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Problem 32

What are the solutions for the quadratic equation

2x2 – 12x – 32 = 0?

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Problem 33

What is the solution of the equation 8x – 7 = 33?

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Problem 34

The perimeter of a rectangle is 32 units. Its width is 6 units. What is the area of the rectangle?

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Problem 35

What is the value of y if

?

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Problem 36

What is the equation of the line joining the points (1, 1) and (7, 2)?

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Problem 37

The scatter plot shows the population of Central City during certain years.

Which best describes the correlation shown in the scatter plot?

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Problem 38

What is the interquartile range for the given set of temperatures?

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Problem 39

The original price of a watch is $60. After the discount, the new price is $54. What is the price discount as a percent?

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Problem 40

A number increased by 50 is equal to 199. What is the number?

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