Algebraic Equations
Correctly solve this problem:
x-1.5 = 17
x=15.5
If there are 7 sharp pencils and 5 dull pencils in Mr. D's pencil case, what is the ratio of dull to sharp pencils? What is the ratio of dull pencils to total pencils?
5:7
5:12
15 𝑖𝑠 𝑤h𝑎𝑡 𝑝𝑒𝑟𝑐𝑒𝑛𝑡 𝑜𝑓 60?
Solve Using Proportions, show your work
25%
Convert 14/25 to a decimal and a percent
.56
56%
Jessica hiked a trail that was 14 kilometers long. How many meters long was the trail?
1000 meters in 1 kilometer
Jack is 3 more than half his brother's weight.
1. Write an equation for Jack's weight.
2. What does Jack weigh if his brother weighs 53 pounds?
1. J = 3+.5(brother's weight)
2. 29.5
If the ratio of girls to boys in Mr. D's classroom next year is 3:5 how many girls are there if there are 15 boys?
9
38 𝑖𝑠 30% 𝑜𝑓 𝑤h𝑎𝑡 𝑛𝑢𝑚𝑏𝑒𝑟?
_____part = _______part
whole whole
126.67
Change .0234 to a fraction in simplest form
234/10,000
117/5,000
A football field is 100 yards long. How many feet is the football field?
300
Simplify: 4(5+2n)
20+8n
Write an equivalent ratio for this ratio: 13:7
26:14
𝑊h𝑎𝑡 𝑛𝑢𝑚𝑏𝑒𝑟 𝑖𝑠 20% 𝑜𝑓 85?
_______ part = _______ part
whole. whole
17
Change 17% to a decimal and then to a fraction in simplest form.
.17
17/100
Use proportions to solve.
1 km : .6m = 275 km : x m
miles= 165
Solve for b:
5b=32
6.4
At the concert, the ratio of guys to girls was 4:8. If there were 360 people at the fair, how many males and how many females were there?
Use a Tape Diagram to solve! Show your work!
120 guys
240 girls
13 is 5% of what number?
260
Solve x (and show me how you did it) if
2x+1=3
x=1