Download Chapter 2 Test

MATH 0030 – Chapter 2 REVIEW
Name: ____________________________
Complete the following problems writing neatly and clearly. Show complete work for full credit as directed by your
instructor. If you use another sheet of paper please be sure to number your problems.
1 – 6. Concept and vocabulary check. Fill in each blank so that the resulting statements are true.
1.
An equation in the form ax + b = c, such as 7x + 9 = 13, is called a/an ______________ equation in one variable.
2.
The equation
3.
4.
The equation 0.9x – 4.3 = 0.47 can be cleared of decimals by multiplying both sides by ________________.
If x represents a rectangle’s width and 4x represents it length, the perimeter of the rectangle can be represented by
___________________.
The sum of the measures of the three angles of any triangle is ______________.
The negative multiplication property of inequality states that if a < b and c is negative then ac _______________.
5.
6.
3
x = 20 , can be solved by ______________ both sides by _________________.
5
7. 4 x + 9 = 33
7 – 16. Solve each equation.
11. 1 − 2(6 − y ) = 3 y + 2
14.
x 1 x 1
− = +
2 10 5 2
8. −3 y − 2 = 13
9. 3 − 2 x = 9 − 8 x
10. 5 x − 3 = x + 5
2x x
= +1
3 6
12. 2( x − 4) + 3( x + 5) = 2 x − 2
13.
15. 0.5 x + 8.75 = 13.25
16. 0.1( x − 3) = 1.1 − 0.25 x
17 – 18. Solve each formula for the specified variable.
19 – 24. Solve each problem. 19. What is 8% of 120?
17. V =
1
Bh for h
3
20. 90 is 45% of what?
18. P = 2l + 2 w for w
21. 36 is what percent of 75?
22. A bank’s total monthly charge for a checking account is $6 plus $0.05 per check. If your total monthly charge is
$6.90, how many checks did you write during that month?
23. A rectangular field is three times as long as it is wide. If the perimeter of the field is 400 yards, what are the
field’s dimensions?
24. After a 25% reduction, you purchase a table for $180. What was the table’s price before the reduction?
25 - 27. Find the area or volume as indicated. ** Full credit includes defining variables, equation with work and
answer with units.
25. A rectangular kitchen floor measures 12ft by 15ft. A stove on the floor has a rectangular bas measuring 3ft by 4ft, a
refrigerator covers a rectangular area of the floor measuring 3ft by 4ft. How many square feet of tile will be needed
to cover the kitchen floor not counting the area used by the stove and refrigerator?
26. Which one of the following is a better buy: a medium pizza with a 14-inch diameter for $6.00 or two small pizzas,
each with an 8-inch diameter, for $6.00?
27. A train is being loaded with freight containers. Each box is 8m long, 4m wide, and 3m high. If there are 50 freight
containers, how much space is needed?
28 – 31. Solve each inequality, write in interval notation, and graph the solution set on a number line.
28. 3 − 5 x ≤ 18
29. 6 x − 10 ≥ 2( x + 3)
30. 4 x + 3(2 x − 7) < x − 3
31. 4 x + 6 > 5 x
32 – 35. Determine whether each statement is TRUE or FALSE. If the statement is false, make the necessary change(s)
to produce a true statement.
32. If 3x = 18, then x = 18 – 3.
34. If A = lw, then w =
l
A
33. The equation x +
1 1
= is equivalent to x + 2 = 3.
3 2
35. The statement “x is at most 5” is written x < 5.