Algebraic Reasoning
Simplify the expression. 2 + 24 / 6
6
Solve:
-7 + (-4)
-11
-3.817 + 4.2
0.383
A lawn service company charges Mrs. Smith $75 for 2 1 / 2 hours of work. What is their fee per hour?
$30 per hour
Identify the quadrant that contains each point.
1. (7, 3)
Quadrant I
Write the phrase as an algebraic expression. 4 times the difference of y and 8
4(y-8)
Solve:
-9 - (-15)
6
Fresh ground beef is on sale for $4.90 per pound. How much will it cost to buy 8.30 pounds of ground beef?
$40.67
Kathy walked 2.5 miles in 35 minutes. Use a proportion to find how long it would take her to walk 6 miles at the same speed.
84 minutes
An airplane increases in altitude from take-off until it reaches its cruising altitude. It flies at the cruising altitude until it begins to descend for landing.
Which graph best shows the story?
Page 92 #9
Graph C
Compare. Write <, >, or =.
4. 14 - 2 * 2 __ 7 + 6 / 3
>
8 h=-48
h=-6
Shea bought CDs for $11.65 each. She spent a total of $163.10. How many CDs did Shea buy?
14
Ned is 5 ft 4 in. tall, and casts a shadow that is 3 ft 6 in. long. At the same time his dad’s tool shed casts a shadow that is 7 ft long. What is the height of the tool shed?
10 feet 8 inches
Nolan rode his bike 3 km to school. After school he rode his bike 4 km to a friend’s house. Then he rode his bike home. Sketch a graph to show the distance Nolan traveled. Use the graph to find the distance Nolan traveled.
14 km
Evaluate each expression for the given value of the variable.
2 c ^2 + 4 c
for c = 4
48
Write each fraction as a decimal.
2 / 5
0.4
Kevin ran for 3 / 4 hour, swam for 1 / 2 hour, and bicycled for 5 / 6 hour. How long did Kevin run, swim, and bike altogether?
2 1/12 hours
The map in Joe’s World Atlas uses a scale of 1 / 2 cm: 20 miles. On the map, the distance between Cleveland and Cincinnati is 5 1/ 2 cm. What is the actual distance between the two cities?
220 miles
Find the slope and y-intercept of the line.
#12 Page 93
Slope=-2
y intercept= 2
Simplify each expression
b^ 2 + 2 c + 9 b ^2 +2
10 b^ 2 + 2 c + 2
Write each decimal as a fraction in simplest form.
0.075
3/40
Mark spends 1/ 3 of his day sleeping and 1 / 4 of his day at school. What fraction is spent doing things besides sleeping and going to school?
5/12
Mrs. Nuss planted two similar rectangular gardens. Her soybean garden measures 100 yards long and 60 yards wide. Her corn garden is 150 yards long. How many yards wide is her corn garden?
90 yards
A car travels at a speed of 35 miles per hour. Write a direct variation equation for the distance y the car travels in x hours and graph the data.
How long does it take the car to travel 96.25 miles?
y = 35x; 2 3/4 hr