Exponents
Write as a factor of prime numbers:
135
135 = 5 X 3 X 3 X 3
Solve the following linear equation:
2/3 x - 14 = -10
x = 6
The temperature was – 7 C. It is now 4 C. How much did the temperature change?
11 degrees
Simplify by collecting like terms
(3x2 + 2x +1) +(5x2 - 2x -5)
8x2 - 4
Santos walks 2 kilometers south and then a certain number of kilometers east. He then walks 5 km back to his starting position. How far did he walk in total?
2 + 5 + 4.6 = 11.6 km
What is the LCM (Least Common Multiple) of 12 and 16?
48
Solve and graph this inequality.
4j – 1 > 2j + 3
j > 4
Write in simplest terms.
6 2/5 + 4 1 /3
10 11/15
Simplify by collecting like terms:
(3x2 -5) +(2x2 + 4) -(4x2 -1)
x2
Define congruent and similar triangles.
Congruent - exactly the same
Similar - angles are the same, ratios of side lengths are the same; size can be differrent
Solve each and explain why these are different:
-34
(-3)4
-81
81
Make a simple graph to show the following linear equations:
x = -3
y = 1
x = -3 is a vertical line running through -3 with arrows on the end
y = 1 is a horizontal line running through 1 with arrows on the end
You and 3 friends shared 6/7 of a pizza equally among yourselves. What fraction of the pizza do you each receive?
2/7
Expand and simplify.
(5m - n) (5m + n)
25m2 - n2
A dog is leashed to a point in the center of a large yard, so the area the dog is able to explore is circular. The leash is 20 feet long. What is the area of the region the dog is able to explore? Round to the nearest tenth.
314ft2
Solve:
(18 ÷ 32 + 1)4 – 42
65
Find the slope of the line with these points:
(7, 2) and (12, -1)
4/5
55 is 8% of what number?
687.5
State the degree and identify as a monomial, binomial, polynomial, etc.
3x3y7z2
Monomial; degree 12
Identify 3 coordinates that you could use to graph the following line:
y = 2/3x - 4
0, -4
3, -2
6, 0
Others?
(-3x4 y-4 )2(5xy8 )
45x9
What is the slope of a line that is parallel to this one?
What is the slope of a line that is perpindicular to this one?
y = 4x +2
parallel m=4
perpindicular m = -1/4
The speed of light is approximately 300,000,000 metres per second. Write this number in scientific notation.
3 X 108 m/s
Factor the following polynomial:
y2 +5y - 84
(y - 12) (y +7)
Convert 130 meters per second into miles per hour
1 meter = 3.28 feet
1 mile = 5280 feet
290.73 mph