Free Printable Accuplacer Review B1

1.

The sales tax rate in Wilson County is 6.75%. Suppose the total price of an item purchased in Wilson County including tax is $14.93, what is the price of the item (rounded to two decimal places) before tax?

a)

$12.93

b)

$13.99

c)

$15.94

d)

$8.91

2.

The long term parking rate at Raleigh-Durham Airport is $2 per hour (or part of an hour) with $10 daily maximum. Suppose you park your car on Friday afternoon at 8:30 pm and pick it up on the following Tuesday at 9:30 am, what will be your parking fee?

a)

$58

b)

$50

c)

$48

d)

$38

3.

$Solve:\ \ 2x\left(10x+8\right)=-3\left(x+1\right)$

a)

$x=\frac{3}{4},\frac{1}{5}$

b)

$x=-\frac{3}{4},\frac{1}{5}$

c)

$x=-\frac{3}{4},-\frac{1}{5}$

d)

$x=\frac{3}{4},-\frac{1}{5}$

4.

$Solve:\ \ \ \left(2x-3\right)^2-8=0$

a)

$x=\frac{3\pm2\sqrt{2}}{2}$

b)

$x=3,-2$

c)

$x=-3\pm2\sqrt{2}$

d)

$x=\frac{-3\pm2\sqrt{2}}{2}$

5.

The profit, P, realized by a company varies directly as the number of products, s, it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?

a)

$120,000

b)

$100,000

c)

$80,000

d)

$60,000

6.

If the Voltage, V, in an electric circuit is held constant, the current, I, is inversely proportional to the resistance, R. If current is 120 mA (milliampere) when resistance is 5 ohms, find the current when the resistance is 15 ohms.

a)

$40mA$

b)

$357mA$

c)

$360mA$

d)

$200mA$

7.

A 36 foot long tube is cut into two pieces with ratio 4:5. Find the length of the shorter piece.

a)

$9\ \ feet$

b)

$16\ \ feet$

c)

$12\ \ feet$

d)

$20\ \ feet$

8.

A large square pizza has 49 pieces (square slices). John, Jack and Jane ate all the pieces in the ratio 4:2:1, respectively. How many pieces did Jack eat?

a)

10 pieces

b)

12 pieces

c)

14 pieces

d)

18 pieces

9.

$Solve:\ \ \ \sqrt{1-2x}+1=3$

a)

$x=0$

b)

$x=-\frac{3}{2}$

c)

$x=-1$

d)

$x=\frac{1}{2}$

10.

$Solve\ \ for\ \ V:\ \ \ r=\sqrt{\frac{V}{\pi h}}$

a)

$V=\sqrt{\frac{r}{\pi h}}$

b)

$V=\frac{\pi h}{r^2}$

c)

$V=\pi hr^2$

d)

$V=r\sqrt{\pi h}$

11.

Write an equation of a line passing through the points: (2,-4) and (1,0).

a)

$y=-4x+4$

b)

$y=4x-4$

c)

$y=4x+4$

d)

$y=-4x-4$

12.

Determine the x and y intercepts of the graph of the equation: 7x - 5y = 35

a)

$\left(5,0\right);\left(0,-7\right)$

b)

$\left(-5,0\right);\left(0,7\right)$

c)

$\left(-5,0\right);\left(0,-7\right)$

d)

$\left(5,0\right);\left(0,7\right)$

13.

$F=\frac{9}{5}C+32$ The formula shown is the relationship between the Fahrenheit scale and the Centigrade scale. Which of the following statements, if either, is true?
$A.\ \ 68\degree\ F\ =\ 20\degree\ C\ \ \ \ \ \ B.\ \ 40\degree C\ =\ 78\degree F$

a)

A only

b)

B only

c)

Both A and B

d)

Neither A nor B

14.

John (J) is 5 years older than his sister Mary (M) who is 2 years younger than her brother Paul (P). If J, M and P denote their ages, which of the following represents the given information?

a)

$J=M+5\ ;\ P=M-2$

b)

$J=M+5\ ;\ \ M=P+2$

c)

$M=J+5\ ;\ P=M-2$

d)

$J=M+5\ ;\ M=P-2$

15.

$Solve\ \ the\ \ System:\ \ 3x-5y=-4\ ;\ 3x-y=4$

a)

$\left(-2,-10\right)$

b)

$\left(2,2\right)$

c)

$\left(2,-\frac{2}{5}\right)$

d)

$\left(\frac{4}{3},0\right)$

16.

The sum of two numbers is 31. Twice the smaller number is 11 more than the larger number. The positive difference between the numbers is:

a)

$4$

b)

$3$

c)

$2$

d)

$1$

17.

Which of the following could be coordinates of a point A whose distance from the origin is 5 units?

a)

$\left(3,3\right)$

b)

$\left(-3,2\right)$

c)

$\left(4,-3\right)$

d)

$\left(1,4\right)$

18.

$\left(x-2\right)^2+\left(y+1\right)^2=5$

Determine the center and radius of the circe whose equation is shown above.

a)

$\left(-2,1\right);25$

b)

$\left(2,-1\right);25$

c)

$\left(2,-1\right);\sqrt{5}$

d)

$\left(-2,1\right);\sqrt{5}$

19.

$Solve\ \ the\ \ inequality:\ \ \left|8-x\right|<8$

a)

$x<0$

b)

$x>0$

c)

$x<0\ or\ x>16$

d)

$0<x<16$

20.

$Solve\ \ the\ \ inequality:\ \ \ \left|x+4\right|\ge1$

a)

$x\ge-5$

b)

$x\ge-3\ \ or\ \ x\le-5$

c)

$x\le-5$

d)

$-5\le x\le-3$

Accuplacer Review B1

Total questions: 20

Worksheet time: 40mins

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