Expressions, Equations, & Inequalities
1. Combine like terms to simplify the expression 4 - h + 2 + c - 3c + 5h
6 + 4h - 2c
What is 44% as a decimal?
0.44
What is the formula for the area of a triangle?
A = 1/2bh or bh/2
What do we call an event that has a probability of 0?
impossible
The inside of a triangle is how many degrees?
180
3. Solve the two-step equation.
12 = d/3+15
d = - 9
Write 0.1234 as a percent.
12.34%
What is the name of a 4-dimensional cube?
tesseract
What do we call an event that probability of 1.
certain
Which angle pair is opposite of each other and have the same measure?
vertical angles
2. Factor the expression 35n - 45.
5 (7n - 9)
6. You go to the Nike Outlet store and see a hoodie you like. The hoodie is originally $65. However, it is on a clearance rack and is being sold for 30% off. How much is the cost of the hoodie after the sale?
$45.50
8. Given the area of the composite figure, find the value of x.
x = 3 cm
11. There are 20 marbles in a bag. There are 10 blue, 3 red, and the rest are pink and purple. It is more likely to get a purple marble than a pink one. What is the likelihood that you draw a blue marble?
equally likely as not
10. Find the measure of angle EBD.
30 degrees (x = 8)
5. -2m - 15 ≥ 1
m ≤ - 8 (closed circle, to the left)
7. Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
31 students
Find the volume of a cube with a side length of 8 units.
512 units3
12. Using the previous scenario, if there is one more purple marble than pink, what is the probability that you draw a purple marble?
4/20 = 1/5 = 0.2 = 20%
13. Do the given side lengths 22, 23, and 50 create a triangle?
No, 22 + 23 = 45 and 45 < 50
4. Solve the multi-step equation.
3(8x - 10) = 12x + 30
x = 5
A student estimated a mass to be 250g, but upon carefully measuring it, she found the actual mass to be 240g. What is the percent error? Round to the nearest hundredth place.
4.17%
9. Given the surface area of the figure, find the value of x.
x = 7 cm
When we played the game show to try and win a car we found out that we had better chances of winning if we switched doors after one of the goats was revealed. After the reveal, what was our probability of winning if we switched doors?
2/3 = 67%
What given information would we need to determine that we have a unique triangle?
all 3 side measurements