Algebra 1 fall final

1.

1 point

Write the compound inequality shown by the graph.

x<−2 AND x>3

x<−2 OR x>3

x>−2 AND x<3

x>−2 OR x<3

2.

1 point

Solve 44 = 14 − 2x

x = 15

x = 29

x = −15

x = −29

3.

1 point

To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let $n$ represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of $n$ will result in a swimmer making the team. Graph the solution.

$n<500$

$n\leq 500$

$n>500$

$n\geq 500$

4.

1 point

The formula p = nc − e gives the profit p when a number of items n are each sold at a cost c and expenses e are subtracted.

If p = 3750, n = 3000, and e = 900, what is the value of c?

0.80

1.55

1.25

0.95

5.

1 point

Salvador reads 12 books from the library each month for x months in a row. Write an expression to show how many books Salvador read in all. Then, find the number of books Salvador read if he read for 7 months.

$\frac{12}{x}$
84 books

$12+x$
19 books

$12x$
84 books

$12-x$
19 books

6.

1 point

Simplify by combining like terms.

7.

1 point

Solve the proportion $\frac{5}{6}=\frac{x}{30}$

x = 36

x = 26

x = 0.03

x = 25

8.

1 point

The formula for the resistance of a conductor with voltage $V$ and current $I$ is $r=\frac{V}{I}$ . Solve for $V$ .

$I=Vr$

$V=\frac{I}{r}$

$V=Ir$

$V=\frac{r}{I}$

9.

1 point

What is the domain of this relation?

− 4≤ x ≤ 2

− 3≤ x ≤ 3

10.

1 point

Solve $-14+s=32$

$s=46$

$s=18$

$s=-46$

$s=-18$

11.

1 point

Describe the solutions of $6+y<10$ in words.

The value of y is a number less than or equal to 3.

The value of y is a number greater than 4.

The value of y is a number equal to 3.

The value of y is a number less than 4.

12.

1 point

The range of a set of scores is 23, and the lowest score is 33. Write and solve an equation to find the highest score. (Hint: In a data set, the range is the difference between the highest and the lowest values.)

h − 33 = 2 × 23
The highest score is 79.

h + 33 = 23
The highest score is −10.

h − 33 = 23
The highest score is 56.

x + 23 = 33
The highest score is 10.

13.

1 point

Simplify 8+3[3−(1)⁶]

−1

22

14

2

14.

1 point

Write the inequality shown by the graph.

$x<3$

$x>3$

$x\geq 3$

$x\leq 3$

15.

1 point

Divide.
$0\div 5.928$

−5.928

undefined

5.928

zero

16.

1 point

A compound is made up of various elements totaling 80 ounces. If the total amount of lead in the compound weighs 15 ounces, what percent of the compound is made up of lead? If necessary, round your answer to the nearest hundredth of a percent.

81.25%

5.33%

18.75%

0.19%

17.

1 point

Evaluate $x-(-10)$
for $x=12$

22

−22

2

−2

18.

1 point

Find the result when 28 is decreased by 25%.

21

35

7

3

19.

1 point

Denise has $365 in her savings account. She wants to save at least $635. Write and solve an inequality to determine how much more money Denise must save to reach her goal. Let $d$ represent the amount of money in dollars Denis must save to reach her goal.

$365+d\geq 635$
$d\geq 270$

$365+d=635$
$d=270$

$365+d\geq 635$
$d> 635$

$365+d> 635$
$d>270$

20.

1 point

After 6 months the simple interest earned annually on an investment of $8,000 was $975. Find the interest rate to the nearest tenth of a percent.

0.2%

24.4%

0.244%

22.4%

21.

1 point

A video store charges a monthly membership fee of $7.50, but the charge to rent each movie is only $1.00 per movie. Another store has no membership fee but it costs $2.50 to rent each movie. How many movies need to be rented each month for the total fees to be the same from either company?

5 movies

3 movies

9 movies

7 movies

22.

1 point

What is the range of the relation below?

{3, 6, 8, 9}

{0, 5, 6, 7}

23.

1 point

Solve the inequality $\frac{x}{-4}\leq 2$ .

$x\leq -8$

$x\geq 8$

$x\leq 8$

$x\geq -8$

24.

1 point

Evaluate

for x=4

102

97

94

150

25.

1 point

Juan scored 24 points in the first half of the basketball game, and he scored x points in the second half of the game. Write an expression to determine the number of points he scored in all. Then, find the number of points he scored in all if he scored 11 points in the second half of the game

$24+x$
35 points

$24-x$
13 points

$24x$
35 points

$\frac{24}{x}$
13 points