AMP7+

Scale, Similarity, and Slope

100

Rectangle A has been scaled from its original dimensions of length 9 and width 3 by a scale factor of 1/3, what are it's new length and height?

Length of 3, Width of 1

200

What is the slope of the line that passes through the points (0,0) and (12,3)?

(3-0)/(12-0) = 3/12 = 1/4

300

Triangle A has a base of 4 and a height of 6. Triangle B has a base of 6 and a height of 9. Are they similar and if so, what is the scale factor from B to A??

They are similar and the scale factor from B to A is 2/3.

400

What is the slope of the line that passes through the points (-1,-12) and (2,-3)?

(-3--12)/(2--1)=9/3=3

500

A right triangle with vertices at (0,0) (-6,0) (-6,12) has a hypotenuse with a slope of what?

-12/6=-2

Solving Equations

100

Solve -3x=9

9/-3=-3

200

Solve -3x=1/2

1/2 divided by -3 = 1/-6 or -1/6

300

Solve -(7x-5)/4=10

-(7x-5)=40

-7x+5=40

-7x=35

x=-5

400

Solve (-x+12)/2=-1/2

-x+12=-1

-x=-13

 x=13

500

A printing business buys a printer for $300, blank shirts for $2.25 each, and ink costs are $.25 per shirt. How many shirts can they produce for $675.00?

$675-$300=$375

$375/$2.50=150 shirts

Inequalities, Distributing, Factoring

100

Solve the inequality x-3>-10

x>-7

200

Solve the inequality -x+4<13

-x<9, x>-9

300

Expand .25(8x+28)

2x+7

400

Factor 24x-40

8(3x-5)

500

Solve for x: (x+10)/2=(3x+6)/3

x=6

Linear Relationships and Correlation

100

Is the correlation between miles driven and amount spent on gas positive or negative?

Positive, as the number of miles driven increases the amount spent on gas also increases.

200

Are the number of miles on a car and it's value positively or negatively correlated?

Negatively, as the number of miles on a car increase it's value decreases.

300

Write the equation for a line with a slope of -3 and a y-intercept of 7

y=-3x+7

400

Write the equation for a line with a y-intercept of -3 and a slope of 2/3

y=2/3x+-3

y=2/3x-3

500

Do the lines y=3x+2 and y=-3x+2 intersect (cross) once, always, or never?

Once, when x=0, the y-value for both is 2.

Exponents, SciNo, Pythagorean Theorem

100

Write 132 x 10⁵ in scientific notation

1.32 x 10⁷

200

What is 3,456,000 x 10^-3

3,456

300

The square root of 55 is between what two whole numbers?

7 and 8

400

Is a triangle with legs of 5 and 7 and a hypotenuse of 8 a right triangle?

5²+7²=25+49

25+49 does NOT equal 64

500

What is the length of the hypotenuse of a right triangle with legs of 4 and 7?

4^2 is 16 and 7^2 is 49, 16+49=65, so the hypotenuse must be the square root of 65 which is slightly more than 8.