Quiz about Algebra 1 EOC Practice Test Form A

Question 1

The dot plots show the scores that students received on their Biology test. Which class period has the higher median test score?

Accepted Answer

A) Period 4

Answer

B) Period 6

Answer

C) The medians are equal.

Answer

D) Impossible to tell.

Question 2

An equilateral triangle has sides of equal length. Let x represent the length of a side. Which choice defines the function P relating the side length of the triangle to its perimeter?

Accepted Answer

R) P(x) = 3x

Answer

M) P = 3x

Answer

P) y = 3x

Answer

S) P(y) = 3x

Question 3

Find the solution to the system of equations. y = 3x - 2, y = 5x + 2.

Accepted Answer

(-2, -8)

Answer

(0, -2)

Answer

(-1/2, -1/2)

Answer

(2, 12)

Question 4

Maya and Fiona have a total $16. Fiona has $4 more than triple the amount Maya has. How many dollars does each girl have?

Accepted Answer

Maya: 3, Fiona: 13

Answer

Maya: 2, Fiona: 14

Answer

Maya: 4, Fiona: 12

Answer

Maya: 5, Fiona: 11

Question 5

Let f(x) = $$4x^2+2x+1$$ and let g(x) = f(x + k). How does the graph of g compare to the graph of f when k = -3?

Accepted Answer

P) The graph of g is the graph of f translated right 3 units.

Answer

M) The graph of g is the graph of f translated left 3 units.

Answer

R) The graph of g is the graph of f translated up 3 units.

Answer

S) The graph of g is the graph of f translated down 3 units.

Question 6

Describe what would happen if the outlier was removed from the data set.

Accepted Answer

D. The mean, median, and range would decrease.

Answer

A. The mean would decrease and the range would increase.

Answer

B. The mean and the median would increase.

Answer

C. The mode and range would decrease.

Question 7

The amount of money in a savings account increases by 0.2% every month. What is the function for the amount of money in the account, B(t), after t months with an initial deposit of $100?

Accepted Answer

$$f(x)=100(1.002)^x$$

Answer

$$f\left(x\right)=100\left(0.02\right)^x$$

Answer

$$f\left(x\right)=100\left(0.98\right)^x$$

Answer

$$f\left(x\right)=100\left(0.2\right)^x$$

Question 8

Solve the equation for x. 4x + 3x = 2(2x + 3)

Accepted Answer

x = 2

Answer

x = $$\frac{3}{4}$$

Answer

x = 1

Answer

x = $$\frac{5}{3}$$

Question 9

Let f(x) = 3x - 5, g(x) = f(x + 4) and h(x) = g(-3x). What are the slope and y-intercept of the graph of function h?

Accepted Answer

The slope of the graph of function h is -9, and the y-intercept is 7.

Answer

The slope of the graph of function h is 9, and the y-intercept is -7.

Answer

The slope of the graph of function h is 9, and the y-intercept is 7.

Answer

The slope of the graph of function h is -9, and the y-intercept is -7.

Question 10

Find the area, A(x), of the following polygon, assuming x > 0. Write your answer in standard form.

Accepted Answer

$$A\left(x\right)=9x^2+2x$$

Answer

$$A\left(x\right)=7x^2+1$$

Answer

$$A\left(x\right)\ =\ 5x^2+3x+1$$

Answer

$$A\left(x\right)=8x^2+2x$$

Question 11

Vanessa purchased a smart TV for $1,500 on a payment plan. Four months after purchasing the TV, her balance was $1,200. Seven months after purchasing the TV, her balance was $975. Part A: Find an equation that models the balance y after t months. Part B: How many months will it take her to pay off the TV loan?

Accepted Answer

A) y = -75t + 1500; 20 months

Answer

B) y = -75t + 1500; 15 months

Answer

C) y = -75t + 1500; 10 months

Answer

D) y = -75t + 1500; 25 months

Question 12

The function f(x) = 10x + 15 models the amount of money, in dollars, that Jack earns shoveling snow for x hours. How many dollars will Jack make in 4 hours of shoveling snow?

Accepted Answer

$55

Answer

$40

Answer

$45

Answer

$50

Question 13

A diagram of a patio is shown below. Select all the statements that are true about the quantities shown.

Accepted Answer

It is possible for y to have any value greater than 0.

Accepted Answer

It is possible for x to have any value greater than (1/2).

Accepted Answer

The quantities represented by x and y could be measured in feet.

Answer

It is possible for x to have any value greater than 0.

Answer

The quantities represented by x and y could be measured in square feet.

Question 14

Select all the equations that have no real solutions.

Accepted Answer

$$2x^2 - 3x + 7 = 0$$

Accepted Answer

$$x^2 - x + 5 = 0$$

Answer

$$x^2 - 5x + 3 = 0$$

Answer

$$2x^2 + 8x + 7 = 0$$

Answer

$$-x^2 + 6x + 4 = 0$$

Question 15

Determine the solutions to the equation |3x - 2| = 4.

Accepted Answer

x = 2, x = -2/3

Answer

x = 2, x = 2/3

Answer

x = 3, x = -2/3

Answer

x = 3, x = 2/3

Question 16

The graph of the function f is shown. What are the approximate solutions of f(x) = 0?

Accepted Answer

x = -1.5

Accepted Answer

x = 0

Answer

x = -1.125

Answer

x = -0.75

Answer

x = 0.5

Question 17

Which number line shows the solution set of the inequality |2x + 3| < 7?

Accepted Answer

Question 18

Which expression is equivalent to $$2x^2 - 7x - 15$$ ?

Accepted Answer

(x - 5)(2x + 3)

Answer

(2x - 5)(x + 3)

Answer

(x - 5)(2x - 3)

Answer

(2x - 3)(x + 5)

Question 19

Francini earns $15 per hour. She sketched a graph to show how much money she earns after working x hours. Which set of numbers should she use to label the vertical axis?

Accepted Answer

5, 10, 15, 20, 25

Answer

1, 2, 3, 4, 5

Answer

15, 30, 35, 40, 45

Answer

15, 30, 45, 60, 75

Question 20

State how many real solutions the following equation has. $$x^2 - 4x + 3 = 0$$

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 21

A fare meter in a taxi calculates the fare by starting at $$2.40 when the trip starts, then adding $$ 0.32 for every eighth of a mile traveled. If x represents the length of the trip in miles, what function models the total cost of the trip?

Accepted Answer

f(x) = 2.56x + 2.40

Answer

f(x) = 2.40x + 0.32

Answer

f(x) = 2.40x + 2.56

Answer

f(x) = 0.32x + 2.40

Question 22

The graph models the height, in meters, of a ball that has been thrown into the air, after t seconds. For how many seconds will the ball be at least 4 meters above the ground?

Accepted Answer

4 seconds

Answer

1 second

Answer

2 seconds

Answer

3 seconds

Question 23

Select all the expressions that are equivalent to $$2x^2 + 7x + 3$$ .

Accepted Answer

(2x + 1)(x + 3)

Accepted Answer

$$2x^2 + 0.5(10x + 4x)$$

Accepted Answer

$$2x^2 + 0.5(10x + 4x + 6)$$

Answer

$$2x^2 + 14x + 6$$

Answer

(x + 1)(2x + 3)

Question 24

Simone noticed a correlation: She got higher scores on her math tests on days when she studied the night before, slept at least 8 hours, ate breakfast, wore a green shirt, and reviewed her notes again. Which activities could be a cause of her higher test score? Select all that apply.

Accepted Answer

studying the night before

Accepted Answer

sleeping at least 8 hours

Accepted Answer

eating breakfast

Accepted Answer

reviewing her notes again

Answer

wearing a green shirt

Algebra 1 EOC Practice Test Form A

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