MATH 080 REVIEW FOR TEST #1 (Ch.1, Ch.2)

Use your own words for explanations. After the deadline the solutions will be posted. Be sure to show your steps as you follow the order of operations and watch your signs!

a) - 5 + 4 - 3 - 2 + (- 1)

b) 8 + 2(5 - 11)

c) 4 2 - 2 3 +2 5 2

d) ( - 7 + 2)

e) 416 4 2

f) 18 6 3

g) 3[ 9 - 2 (7 - 8)]

h) (9 - 7 )(3 - 7 )

2. Write algebraic expression, equation, or inequality for each (don't solve):

a) twelve more than 8 times a number

b) the difference of 6 and a number is less than 72

c) 5 less than a number is two-thirds of the number

d) the ratio of twice a number and 14

e) use the distributive property to simplify - (12x - 4y + 2)

3. Evaluate for x = 2, y = - 5, and z = - 10.

a) x - 2y

b) x2 - z 2

c) (x - z)2

d) x2y 3x

e) x+5 y+5

4. Find the area and perimeter of the rectangle shown if x = 4.2 cm x x + 5.8

5. Simplify.

a) - 4x + 3y - 9 + 6x - 4y - 2

b) 4(m - 1) - 3(m - 2)

c) subtract (0.2x + 8) from (3.5x - 9)

6. Solve. Be able to show your check step.

a) 3x - 5 = 6x - 2

b) 3(x - 1) + 2x = 6x

c) 0.9x + 2.2 = 4

d) 2 5 y - 7 = 1 3 y + 8

e) ?+3 5 + 1 2 = ?1 10

f) 3x - 2(x - 4) = 2x + 8

7. Solve the inequalities. Graph the solution and write in interval notation.

a) 5x + 4 x - 8

b) x 3 + 1 > x 4

8. Solve each application using algebra. Write equation or inequality and show your solving steps. Answer completely.

a) A rectangle with perimeter 18 cm has length that is 3 cm more than twice its width. Find the dimensions of the rectangle.

b) The sum of 3 consecutive integers is 147. Find the 3 integers.

c) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate)

d) Last week Lori earned a gross pay of $435 for working 52 hours. She is paid time-and-a-half for any time over 40 hours each week. Find her hourly rate of pay.

e) A 10-meter wire is cut into 2 unequal pieces. The large piece is 3 meters less than twice the smaller piece. Use algebra to determine the lengths of each piece.