Name ________________________________
Integrated Algebra 2015-2016
Mid-Term Review Sheet #1
1.
Date ________________________
Period _______________________
a) Which of the following numbers is irrational?
a. 4
b.
16
c.
1
2
d.

b) Which of the following numbers is irrational?
a. 7
2.
b. 49
c.
1
9
d.
a) Order these values from least to greatest:
3
2
3
5

2
1.7
b) Order these values from least to greatest:
2
2
3
6

4
2.75
7
3.
a) What is the value of x in the equation: 20 
b) What is the value of x in the equation:
4.
x
5
3
x
 16  19
3
a) Convert 15.5 feet to inches.
b) Convert 3 pounds to ounces.
5.
a) Which sentence is an example of the distributive property?
a. ab = ba
c. a(b + c) = ab + ac
b. a(bc) = (ab)c
d. a  1 = a
b) Which sentence is an example of the associative property?
a. (3)(2) = (2)(3)
c. 2(3 + 4) = (2)(3) + (2)(4)
b. 2(3  4) = (2  3)4
d. 2  1 = 2
6.
a) If a = -4 and k =2, evaluate 3ak2
b) If x = -3 and y =5, evaluate 2xy3
7.
a) If ab + c = d, then b equals:
b) If ac - d = e, then c equals:
8.
a) David drove 270 miles from Buffalo to Syracuse. It took him 4.5 hours. What was
his rate of speed, in miles per hour?
b) Christian drove from Albany to Lake George. It took him 2.5 hours at a rate
of 64 miles per hour. How many miles did he drive?
9. a) The expression 10– 2[4 + 7(-6)] simplifies to
b) The expression 20 – 6[2 + 3(-4)] simplifies to
10. a) If x represents a number, write an equation which is a correct translation of "Ten more
than 6 times a number is 400"?
b) If y represents a number, write an equation which is a correct translation of "Sixty less
than 5 times a number is 900"?
11. a) Mary measures a plant to be 62 inches. The actual height is 63.5 inches. Find the
relative error of her measurement to the nearest thousandth.
b) Brian estimates the square footage of his basement floor to be 200 square feet. The actual
square footage is 192 square feet. Find the relative error in Brian’s measurement to the
nearest thousandth.
12. a) A computer originally sold for $2,400. It is on sale for $1,800. Find the percent of
decrease to the nearest percent.
b) A house was purchased in 1999 for $125,000. It recently sold for $180,000. Find the
percent increase in the price of the house to the nearest percent.
13. a) A jacket that originally sells for $126, is on sale for 35% off. Find the final cost of the
jacket with 6% sales tax.
b) A pair of skis that originally sell for $299, are on sale for 25% off. Find the cost of the
skis with 8% sales tax.