Algebra 1 Back to Book Review 1 Lessons1-15
Short Answer
1. Identify the subsets of real numbers that apply to
2. Identify the constants and variables in 2cm + 4y.
3. A pizza restaurant charges 13 + 3t dollars for an
extra large pizza. t represents the number of
toppings. Find the number of terms in the
expression and identify the constant(s) and
variable(s).
5. Simplify
.
6. Simplify 34 – 6  2  4 + 6.
7. Simplify 24 ÷ (3 + 1) • 23 – 3.
.
4. Simplify
.
20. Evaluate 10(n + 6) – 8 for n = 5.
21. Evaluate 3.3m – x for m = 14 and x = 4.2
8. A school is having a fund-raiser in which the
students sell calendars and raffle tickets. Each
calendar costs $19. Each raffle ticket costs $8. If a
student sold 3 calendars and 9 raffle tickets,
evaluate
3  19 + 9  8 to find how much money the student
should collect.
22. If a water tank has a capacity of g gallons and it is
drained at a constant rate of d gallons per minute,
the polynomial g – dt can be used to determine the
amount of water in the tank t minutes after it began
draining. How much water remains in a 3800 gal
tank that has been draining at 132 gal/min for 9
minutes?
9. Simplify |–2|.
23. Add. Express your answer in simplest form.
10. Find the sum
.
11. Is the set of irrational numbers closed over
addition? Explain.
24. Subtract. Express your answer in simplest form.
12. Find the difference 26 – 32.
13. The temperature on the ground during a plane’s
takeoff was –3°F. At 38,000 feet in the air, the
temperature outside the plane was –29°F. Find the
difference between these two temperatures.
14. Simplify
.
25. The distances students ran in a race are shown in
the table. List the distances in order from greatest to
least. Between which two students’ distances
should Maria’s distance be in the list?
Student
Distance (mi)
Patrick
0.2
Jacklin
15. Convert 226 cm to m.
Lou
16. Convert 9 yards to feet.
Steven
17. Convert 672 inches to feet.
Maria
18. Stone Arch Bridge in Minnesota is about 700 yards
long. About how many feet is this?
19. Evaluate 4n – 4 for n = 6.
27. Evaluate
28. Simplify 2(–7).
29. Simplify
.
0.7
26.
.
30. Simplify 280  (–3.5).
0.6
equals
31. Which property of whole numbers is illustrated by
the statement 40 × 48 = 48 × 40?
32. Classify the statement as sometimes, always, or
never true.
for
36. An experiment consists of spinning the spinner
shown. All outcomes are equally likely. What is the
probability that the spinner will land on an even
number? Express your answer as a fraction in
simplest form.
33. Estimate
to the nearest integer. Use a
calculator to check your answer.
34. The area of a square garden is 88 square meters.
Estimate the side length of the garden to the nearest
whole number.
35. An experiment consists of spinning the spinner
shown. All outcomes are equally likely. What is the
probability that the spinner will land on 3? Express
your answer as a fraction in simplest form.
38. Simplify
37. A carnival has a duck-pond booth. You choose a
rubber duck at random. The mark on the bottom of
the duck tells you whether you won a small,
medium, or large prize, or no prize at all. There are
65 ducks floating in the pond. There are 3 ducks
marked as large-prize winners, 13 ducks marked as
medium-prize winners, and 21 ducks marked as
small-prize winners. Find the probability of
winning a medium prize at the duck pond. Express
your answer as a decimal. If necessary, round your
answer to the nearest thousandth.
.
39. A moving-van rental company uses the polynomial 84 + 0.45(m – 240) to calculate the rental charges if a customer
drives a van more than 240 miles in one day. In the polynomial, m is the total number of miles that the customer
drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of
renting the van and driving it more than 240 miles in one day