Number Systems
Expressions and Equations
Ratios and Proportional relationships
Functions and Probability
Geometry
100

Give an example of an irrational number

examples of answers: 

√2

π

100

Write an equation to solve this problem, then solve. 

                                               

The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

54= 2(6) + 2(w)

w=21 cm

100

Using a graph, how do you know if a given set of numbers represent a proportional relationship?

When you look at the graph two things happen: 

the graph is a straight line

it intersects the origin (0,0)

100

What is the probability of rolling an even number on a six-sided dice? 

50%

1/2

0.5

3:6

100

What is the side length of a square field that measures 49 sq.ft?

7 ft. 

200

27x2-8=

1

2
200
If I can find an equal value for x and y for two separate linear equations, what do the x and y represent? 

The point of intersection, or the point where the lines cross. 

200

Look at the following set of numbers. Determine if they are equivalent ratios. 

1:2; 14:28; 36:72

Yes

200

Is this a linear function? 

f(x)=-8-0.25x

yes. 

200

Write the equation for the circumference of a circle. 

πx2xradius

πx diameter

300

Convert this fraction into a decimal 

102

240

0.425

300

Which of the following is an expression. Why? 

a+0.5a=1.05a

a+0.5a= 26.25

a+0.5a=1.05a

It is an expression because it expresses a given value without providing an answer. The value of a is unknown. For the second example (an equation), the value of a can be solved. 

300

What is the constant of proportionality? 

the ratio between two directly proportional quantities

Also known as: unit rate, slope

300

A total of 80 students take a survey that asks if they prefer summer or winter. 60 students respond saying they prefer summer. What percentage is that?

75%

300

A circle has a diameter of 16 in. What is the area of the circle? 

64π in2

 

400

Explain why the following quantities are equal. 

-(p/q); (-p)/q; p/(-q)

The values are negative. 

The first value illustrates p/q times -1. 

-1 written as a fraction must have either a negative numerator OR denominator, but cannot have both be negative. 

400

The following equation is written in standard form, write it in slope intercept form. 

6x+2y=24

y=-3x+12

400

What is the unit rate of the following two points. 

(0,0); (1,4)

4

400

What makes something a function? 

A function is defined as a relation between a set of inputs having one output each. In a function, you cannot have more than one output for the same input.

400

If I add up all the angles in a triangle, what is my total? 

180º

500

Organize the following numbers from smallest to largest. 

(√49); (100/100); ten hundredths; √2

(√49); (√2); ten hundredths; (100/100); √2; (√49)

500

What is the difference between a linear equation and a linear inequality? Explain what they look like when graphed. 

A linear equation only uses an equal sign and the values that apply are only those found on the line graphed. 

A linear inequality uses the symbols >, <, ≥, ≤. The valid values depend on the symbol and are represented on a graph by shading and the structure of the line (solid or dotted)

500

If a person walks if a person walks 1/2 mile in each 1/4 hour, how far do they walk in two hours? 

4 miles. 

500

Translate this into words (unlikely, likely, etc.)

A probability of 1. 

1=100%

certain

500
A cone and a cylinder have the exact same volume and radii. If you are given the height of the cylinder, how can you find the height of the cone?

cone=πr2(h÷3)

cylinder=πr2h

Multiply the height of the cylinder by 3. That way h÷3 would equal the height of the cylinder. 

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