Operations
Systems of Equations
Slope
Exponents
Ratios and Proportions
100
7895 − 3998
3897
100
Solve the system of equations:
y=2x-3
2x+4y=18
x =3, y=3
100
The equation for slope
(rise)/(run)
100
8^5 * 8 ^13
8^18
100
Find the ratio of girls to all students
1:2 or 1/2 or 1 to 2
200
-4+(-5 *7)+8
-31
200
Solve the system of equations:
2x+5y=24
2x+2y=12
x=2, y=4
200
3/2
200
9 * 10^3 - 4 * 10^3
5 * 10^3
200
In Jack’s class, 18 of the students are tall and 10 are short. In Michael’s class 54 students are tall and 30 students are short. Which class has a higher ratio of tall to short students?
The ratio for both classes is 9:5.
300
-3(4b+10)+5b-13
-7b-43
300
Solve the system of equations:
2x-y=4
7x+3y=27
x=3,y=2
300
Find the slope of a line that passes through the points (-2,3) and (2,1)
-(1/2)
300
7 * 10^4 + 5 * 10^5
5.7 * 10^5
300
Nine out of ten students prefer math class over lunch. How many students do not prefer math if 200 students were asked?
20 students
400
1 1/3 * 27/32
9/8 or 1 1/8
400
Jim spent $60 purchasing lattes and coffees for his coworkers. If lattes cost $6 and coffees cost $3, and Jim purchased two more coffees than lattes, how many total drinks did he purchase?
14
400
The slope of line that passes through points (3,2) and (6,2)
zero slope
400
9 * 10^6 - 56 * 10^5
3.4 * 10^6
400
A girl makes 12 free throws for every 8 that she misses. How many free throws did she make if she shot 100 free throws?
She made 60 free throws.
500
10 3/6 ÷ 2 5/8
4
500
The perimeter of a rectangular wooden deck is 90 feet. The deck's length (l) is 5 feet less than 4 times its width (w). Which system of linear equations can be used to determine the dimensions, in feet, of the wooden deck? What is the length and width?
2l+2w=90, l=4w-5
l = 35, y=10
500
The slope of line that passes through points (5,2) and (5,9)
undefined
500
A flight from Singapore to New York includes a layover in Hawaii. The distance between Singapore and Hawaii is about 6.7 x 103 miles. The distance between New York and Hawaii is about 4.9 x 103 miles. Find the total distance from Singapore to New York.
1.16 x 104 miles or 11,600 miles
500
A dentist sees a patient every 20 minutes? He works an average 60 hours per week. How many patients does he see in a year? He takes 3 weeks of vacation. Round your answer down.
8,820 patients per year