Algebra 1A- End of Semester Test: South Carolina Algebra IA

If it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours, how much will it cost for her to rent a truck for her entire 8-hour work day?

$200

What is the slope of the line that goes through the points (-1,4) and (14,-2)?

-2/5

Which value of x makes the equation true? 3x - 6 / 3 = 7x - 3 / 6

-9

Evaluate the following expression when x = -4 and y = 4. x^6 - x / 4y

1,025 / 4

What is this expression in simplified form? (√22)(5√2)

10√11

A weather historian gathered data about the average temperature and total snowfall in her city during the month of January in recent years. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = -0.368x + 18.483. Based on the line of best fit, approximately how many inches of snow fall during the month of January when the average temperature is 2°F?

17.7

The drama club sold a total of 360 adult and student tickets for the school play. Charging $5 for each adult ticket and $3 for each student ticket, they collected $1,360 from ticket sales. How many student tickets did the drama club sell?

220

Joe plans to put a swing set inside a sand box he is building in his yard. He needs the sandbox to be 5 feet longer than twice the width for safety purposes. Joe has 220 feet of material that he will use for the perimeter of the sandbox. If l is the length of the sandbox and w is the width, which system of equations represents this situation?

2w + 2l = 220 l = 2w + 5

Find the solution for this system of equations. 2x − 3y = 2 x = 6y − 5 x =______________ y =______________

3 4/3

What is √192 in simplest form?

8√3

What value of x makes this equation true? -2x + 3 = -15 x =____________

9

Which graph represents this inequality? y ≥ 4x − 3

B

Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6

The equation has one solution, y = 0.

Which statement about this system of equations is true?

The system has no solution.

Rewrite the following equation as a function of x. 25x^4 - 625y - 500 = 0

f(x) = 1/25x^4 - 4/5

Two linear functions, f and g, are graphed below, where function g is a transformation of function f. Which rule shows the transformation of function f?

g(x) = f(x) + 4

Function g is shown on the graph. If function f is the parent linear function, what is the equation of transformed function g in terms of f ?

g(x) = f(x) - 2

Given the following formula, solve for l. P = 2(l + b)

l = P - 2b / 2

Which phrase best describes the relationship indicated by the scatter plot?

negative correlation

Consider this linear function: y = -2x - 5 Plot all of the ordered pairs for the values in the domain. D: {-6, -5, -2, 0, 1}

points are: (1, -7) (0,-5) (-2, -1) (-5, 5) (-6, 7)

The given equation has been solved in the table. Step Statement 1 2/3x - 9 = -13 2 2/3x - 9 + 9 = -13 + 9 3 2/3x = -4 4 3/2 ⋅ 2/3x = 3/2 ⋅ (-4) 5 x = -6 In which step was the addition property of equality applied?

step 2

Which graph represents the solution to the inequality? -2.4(x − 6) ≥ 52.8

the graph that has a point at -16 going left x ≤ -16

Two sentences from the daily weather report in Seattle are given below. It talks about snowfall levels over a 10-hour period during a snowstorm. For the first 5 hours, 2 inches of snow fell every hour. There was no additional snow accumulation for the next 5 hours. Which graph models the piece wise function for the given situation?

the graph that has points: (0, 0) (5, 10) (10, 10)

A local volunteer group has 150 raffle tickets to sell. They sell them in packs of three tickets per customer. Determine which graph and which equation represent the number of tickets, T, the group has left after selling tickets to c customers.

the graph that has points: (0, 150) (50, 0) check the box with T = 3c + 150

Which graph represents this equation? 5y = x + 5

the graph that has: (0, 1) (-5, 0)

The owner of a sporting goods store gathered data about the numbers of men's, women's and children's bicycles sold each month. She used a graphing tool to organize the data in different scatter plots and found these lines of best fit: ●The relationship between the numbers of men's, x, and women's, y, bicycles sold is modeled by the equation y = 0.95x + 0.83, and the correlation coefficient for the data is 0.791. ●The relationship between the numbers of men's, x, and children's, y, bicycles sold is modeled by the equation y = 0.87x + 0.98, and the correlation coefficient for the data is 0.564. ●The relationship between the numbers of children's, x, and women's, y, bicycles sold is modeled by the equation y = 0.73x + 0.91, and the correlation coefficient for the data is 0.945. Which line of best fit can the store owner expect to produce the most reliable predictions?

the line modeling the numbers of children's and women's bicycles sold

Solve the equation 6z + 9z = pz + v for v.

v = 15z - pz

Find the solution to the system of equations given below using linear combinations. 5x + 2y = -38 6x + 10y = -19

x = -9, y = 7/2

Which equation represents the vertical line passing through (14,-16)?

x = 14

What is the solution for x in the equation? -4 + 5x − 7 = 10 + 3x − 2x

x = 21 / 4

In which table does y vary directly with x?

x y 1 26 2 52 3 78

Which inequality represents all the solutions of -5x + 5 ≥ 160 − 10x?

x ≥ 31

Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign. What inequality is shown in the graph?

y < -2x - 3

Which equation represents the line that is perpendicular to y = 3/2x + 1 and passes through (-12,6)?

y = -2/3x - 2

Brianna created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Brianna drew?

y = 2x + 5

What is the equation of the line that goes through the points (-5,-1) and (5,5)?

y = 3/5x + 2

Which of the following represents a function?

{(8,0), (0,8), (1,-6), (4,-7), (-1,8)}

Blake gives piano lessons in the evenings. He earns $20 for each piano lesson and has between 0 and 6 lessons each evening. The amount he earns in an evening depends on the number of lessons he gives. What is the range of this relation?

{0, 20, 40, 60, 80, 100, 120}

Fill in the missing steps and justifications used to solve the given equation. ★4x - 7 = -2x + 12 1.Given ★4x - 7 + 2x = -2x + 12 + 2x 2.Addition property of equality ★6x - 7 = 12 3.______________________________ ★_______________________ 4._________________________ ★6x = 19 5.Simplication ★6x/6 = 19/6 6.Division property of equality ★______________________ 7.Simplication

★3. Simplification ★6x - 7 + 7 = 12 + 7 4.Addition property of equality ★x = 19/6

Match the pairs of equivalent expressions.

★5(2t + 1) + (-7t + 28) >>>> 3t + 33 ★3(t - 4) - (2t + 10) >>>> 7t - 22 ★(-9/2t + 3) + (7/4t + 33) >>>> -11/4t + 36 ★(4t - 8/5) - (3 - 4/3t) >>>> (16/3t - 23/5)

Let b(t) be the number of unread books remaining on Alex's bookshelf after reading consistently for t months. b(t) = 75 - 5t So, b(9) =____________.This means that______________________;The___________________.

★So, b(9) =____30_____. ★This means that______________________; ★The ___number of unread books remaining is 30______.

A system of equations and its solution are given below. System A x - y = 3 -2x + 4y = -2 Solution: (5, 2) Complete the sentences to explain what steps were followed to obtain the system of equations below. System B x - y = 3 2x = 10 To get system B, the_______________ equation in system A was replaced by the sum of that equation and the_______________equation multiplied by___________. The solution to system B_______________the same as the solution to system A.

★second ★first ★4 ★is

East High School scored a total of 71 points in their final basketball game of the season. The team successfully made a total of 32 baskets. The score was composed of two-point baskets and three-point baskets. The following system of equations can be used to model the number of two-point baskets, x, and the number of three-point baskets, y, that were made during the game. 2x + 3y = 71 x + y = 32 First, determine the point on the graph that represents the solution to the system of equations. Notice that one of the equations in the system has already been graphed. Then, determine the number of two-point baskets and three-point baskets that are made during the final basketball game of the season.

★select the 5th point on the graph ★select boxes: 25 7