Chapter 1
Algebraic Reasoning
Algebraic Reasoning
Compare 65 and 3,000.
>
Compare. Write <, >, or =. -21◻️-17
<
Add. 5.98 + 12.99
18.97
An after-school job pays $116.25 for 15 hours of work. How much money does the job pay per hour?
$7.75 per hour
Write the percent as a fraction in split form. 2.70%
27/1,000
Write 52.000 in scientific notation.
5.2x101
Solve. -8 + (-5)
-13
Add. Write each number in the simplest form.
6 1/4 + 8 3/4
15
Solve. 14/n x 5/8
n = 22 2/5
Find 30% of 80.
24
Bertha earned $8.00 per hour for 4 hours of babysitting and $10.00 per hour for 5 hours of painting rooms. Simplify the expression 8 x 4 + 10 x 5 to find how much Bertha Earnw=ed in all.
$82.00
6 + (-5) - 3
-2
Solve. c - 32.56 = 12
c = 44.56
Convert 6 1/4 feet to inches.
75 inches
Find the percent of change. 180 is increased to 140.
22.2%
Solve using your Algebra Ninja steps. 651 + c = 800
c = 149
Solve. 27 ÷ (-3)
-9
Multiply. 1.7 x (-12)
-20.4
On one scale drawing, a tree is 6 3/4 inches tall. The scale factor id 1/20. Find the height of the actual tree.
135 inches
I = ◻️ P = $300 r = 4% t = 2 years
I = $24
Solve using your Algebra Ninja steps.
21 = d ÷ 2
8a = 288
d + a = c
d = 42
a = 36
c = 78
Write the prime factorization of 189.
33 x 7
Solve. Answer in the simplest form. 1 1/2 x 3/5 x 7/9
7/10
Lydia wrote 4 1/2 pages of her science report in one hour. What was her writing rate in pages per minute?
0.075 pages per minute
45 is 20% of what number?
225