Linear expressions
Percents
Solve equations
Geometry
Circles
100
Expand and combine where possible:
-(x + 4)
-x - 4
100
Change the following to a per cent:
3/4
75%
100
Solve the following equation for the variable:
5 - x = -4
5 - 5 - x = -4 - 5
- x = -9
x = 9
100
Vertical angles are:
A. supplementary
B. complementary
C. congruent
D. parallel
C. congruent
100
What is the formula for the area of a circle?
A = pir^2
200
"Combine terms where possible"
3(x + 4) - 7x
3(x + 4) - 7x
3x + 12 - 7x
-4x + 12
200
What is 30% of 20?
6
200
Solve the following equation for the variable:
2x - 7 = 9
2x - 7 + 7 = 9 + 7
2x = 16
(2x)/2 = 16/2
x = 8
200
Which statement is NOT true:
A. The angles in equilateral triangles are congruent
B. The angles in all triangles total 180 degrees
C. The largest angle in a triangle is always opposite the shortest side of a triangle
D. Complementary angles total 90 degrees
C. The largest angle in a triangle is always opposite the LONGEST side of a triangle
200
What is the formula for the circumference of a circle?
A = pid = 2pir
300
"Combine terms where possible"
x + 3x - 8x + 2y - 4y
x + 3x - 8x + 2y - 4y
4x - 8x - 2y
-4x - 2y
300
There are 20 boys and 10 girls in the class. What per cent of the class is made up of girls?
10/30 = 1/3
1/3 = 33 1/3%
300
"Solve the equation for the variable, y"
2y + 7 - 8y = 8 + 4y
7 - 6y = 8 + 4y
7 - 6y - 4y = 8 + 4y - 4y
7 - 7 - 10y = 8 - 7
-10y = 1
y = -1/10
300
Which of the following could be the three sides of a triangle?
A. 3 in, 4 in, 5 in
B. 5 in, 16 in, 11 in
C. 4 in, 4 in, 9 in
D. 10 in, 9 in, 20 in
A. 3 in, 4 in, 5 in
300
What is the area of a circle with a diameter of 5 feet?
Use the pi key for the calculation. Round to the nearest tenth.
A = pir^2
A = pi(5/2)^2
A = pi(5/2)^2
19.6 ft^2
400
"Combine terms where possible"
3x^2+4x + 6x^2-5x
3x^2+4x + 6x^2-5x
9x^2-x
400
Bob bought a shirt that cost $40. The tax was 5%. What was the TOTAL cost of the shirt?
$40 x 1.05 =
$42.00
400
Solve the equation for the variable, x
5(-x - 8) + 9 = 7x - 6
-5x - 40 + 9 = 7x - 6
-5x - 31 = 7x - 6
-5x + 5x - 31 + 6 = 7x + 5x - 6 + 6
-25 = 12x
-25/12 = x
400
What is the measurement of angle MKL?
2x + 15 + 4x = 180
6x + 15 = 180
6x = 165
x = 27.5 so angle MKL = 4(27.5) = 110 degrees
400
A walking track is in the shape of a circle that has a diameter of 500 feet. How many MILES does the person walk if he/she walks around the track 10 times?
Use the pi key and round your answer to the nearest whole number.
(1 mile = 5280 feet)
C = pid
C = (pi*500*10) / 5280 = 3 mi
500
"Combine terms where possible"
5-3(x -7)-8-9x
5-3(x -7)-8-9x
5-3x+21-8-9x
5-8-3x-9x
-3-12x
500
Jack was making $20.00 per hour and his supervisor gave him a $0.50 per hour raise. What was his per cent increase in pay?
(n -o)/o*100
(20.50-20.00)/(20.00)*100
2.5%
500
"Solve the equation for the variable, x"
5/x = 2/(3+x)
5(3+x) = 2x
15 + 5x = 2x
15 + 5x - 5x = 2x - 5x
15 = - 3x
-5 = x
500
What is the value of x in the figure?
One angle of the triangle = 80 (vertical angle)
Another angle of the triangle is 180 - 123 = 57
Third angle, x, must be 180 - (80 + 57) = 43 degrees
500
A bicycle has a tires with diameters of 18 inches. How far has the bicycle traveled in FEET in 50 revolutions of the wheels? Use the pi key and put your answer in the nearest tenth.
C = pid
Distance (feet) = (pid * 50 revolutions) / (12)
Distance = (pi * 18 * 50) / (12)
Distance = (pi * 18 * 50) / (12)
235.6 feet