Algebra EOY Unit 2 Jeopardy

Slope

100

What is the slope of the line: 3y=7x+10?

Answer: 2 1/3x

Explanation: To get the slope, divide 3y by 7 and 10.

200

What is the slope of y=2x+9?

Answer: 2x

Explanation: In y=mx+b, the "M" represents the slope, therefore 2x is the slope of the equation

300

What is the slope of the 2 points: (4,5), (6,2)

Answer: -1.5x

Explanation: You can put the point in the calculator, with the following steps: STAT, EDIT, CALC,4, to get the slope of -1.5.

400

What is the slope of y=3x+4?

Answer: 3x

Explanation: 3x is the "m" in y=mx+b

Standard Form

100

What is the formula for standard form?

Ax+By=C

200

What is step 1 when converting this equation to slope-intercept form?

Equation: -3x+5y=20

Answer:5y=3x+20

Explanation: We need to isolate the "y-value", therefore, we need to move "x" to the other side

300

What do you do if y is negative?

Answer: Multiply the whole equation by -1

Explanation: The y-value cannot be negative, so we must multiply the whole equation by -1 to make the "y value" positive.

400

Make 2x-y=6 into slope-intercept

Answer: y=2x-6

Explanation: *You need to scroll down*

1. We want to isolate "y" so we need to subtract 2x from each side, making this: -y=-2x+6

2. "y" by itself can never be negative, so we need to multiply the whole equation by -1, making: y=2x-6

Slope-Int.

100

What is the formula for slope-intercept form?

y=mx+b

200

Convert 3x=y+2 to slope-intercept form.

Answer: y=-3x+2

Explanation: Move x to the right, and y to the left

300

Convert 4y=2x+3 to slope-intercept form

Answer: y=2/4x+3/4

Explanation: We need to isolate y, so we need to divide the entire equation by 4. 

400

Find the equation in slope-intercept form from these 2 points: (5,2) and (6,3)

Answer: y=1x-3

Explanation: You can put these coordinates in the calculator using STAT, EDIT, CALC,4.

Solving equations and inequalities

100

What is the objective when solving an equation?

The objective is to isolate "x"

200

When do you need to flip the sign when solving an inequality?

You need to flip the sign if you divide by a negative number

300

Solve for X: 3x+5=20

Answer: x=5

Explanation: 

1. We need to subtract 5 from each side, making the equation: 3x=15

2. To isolate "x," we need to divide 3 from each side, making x=5

400

Solve for x: 5-3x≥-4

x ≤ 3

Point-Slope

100

What is the formula for point-slope?

y-y₁=m(x-x₁)

200

Use m=3 and (2,5) to make an equation in point-slope form.

y-5=3(x-2)

300

Use the following to make an equation in point-slope form. m=-2 and(-2,-3)

y+3=-2(x+2)

Explanation: The -2 and -3 from the coordinates become positive because 2 negatives make a positive

400

Use the following coordinates to write an equation in point-slope form. (3,4) (4,7)

Answer: y-7=3(x-4)

Explanation: You can get the slope through 

y²-y¹ over x²-x^{1, and then plug the coordinates and slope into the formula.}