Integers and Rational Numbers
Evaluate:
−14+8−5
-11
Solve:
3x+7=25
6
Circumference of a circle with radius 8.
in terms of pi.
Find the slope through (2,5) and (6,13).
2
Write 0.00043 in scientific notation.
4.3×10-4
Evaluate:
(−12)(−5)÷(−3)+8
-12
Solve:
4(x−3)=2x+8
10
Area of a semicircle with radius 7.
In terms of pi.
49 pi / 2
Write the equation of the line with slope 3 and y-intercept -4.
y=3x−4
A shirt costs $64 and is 35% off. Sale price?
$41.60
Simplify:
3/4 - 5/6 + 3/3
7/12
Solve:
5(2x−3)=4x+18
5.5 = 33/6
Cylinder: r=5, h=9
Volume?
in terms of pi
225 pi
Find the equation through (-2,4) and (3,-6).
y=−2x
A bag has 4 red and 6 blue marbles. Two are drawn without replacement. Find P(both blue).
1/3
(-15/8)÷(5/4)+1/2
-1
Solve:
2(3x−5)−4=x+26
8
Square pyramid: base 10 cm, height 12 cm.
Volume?
400 cm³
Find the equation of the line perpendicular to
y=-3/2x - 5 through (3,1).
y=-3/2x + 11/3
A recipe uses 5 cups flour for every 8 cups sugar. How much flour for 36 cups sugar?
22.5 cups
A submarine starts at -180 ft. It rises 75 ft, dives 42 ft, rises 19 ft, then dives 64 ft. Where is it?
-192
Solve:
4(2x−5)−3(x+6)=5x−26
6
A 20 m × 14 m garden has a walkway around it. Total area is 432 m². Find the walkway width.
2 m
Find the equation of the line through (-4,7) parallel to 3x−2y=10.
y = 3/2x +13
A bag contains 5 red, 7 blue, and 8 green marbles. Two are drawn without replacement. Find the probability of drawing one red and one green in any order.
8/35