1. -4
2. -3
3. 3
4. 4

Correct Answer Number: 3

Explanation: To determine the roots, set each of the factors = 0. This will give (x+4)=0 and (x-3)=0. Now, solve each equation for x and you will get x = -4 and x = 3. The larger root is 3.

More Information

1. 3/4
2. 4/3
3. 3
4. -4

Correct Answer Number: 1

Explanation: Re-writing the equation in "y=" form gives y=(3/4)x-4. When an equation is in "y=" form, the slope is the number in front of the x.

More Information

1. 1.5
2. 3/8
3. 5
4. 12/11

Correct Answer Number: 1

Explanation: Distribution gives us 12x = 4x + 12. Subtracting the 4x from both sides leaves 8x = 12. Dividing both sides by 8 gives an answer of x = 12/8 = 1.5

1. Always
2. Never
3. Sometimes
4. Only when the negative number is a fraction.

Correct Answer Number: 1

Explanation: Whenever you multiply (or divide) an inequality by a negative number, you MUST reverse the direction of the inequality symbol.

More Information

1. x = 4
2. x = - 4
3. y = 6
4. y = - 6

Correct Answer Number: 3

Explanation: You know a point and the slope. The point-slope method of writing the equation of a line can be used. The equation is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line. Substitution gives: y-6=0(x-4). This yields: y-6=0. And finally we get: y=6.

More Information

1. -1/5
2. -1
3. -5
4. 11/5

Correct Answer Number: 1

Explanation: Slope is the change in the y coordinates over the change in the x coordinates. (5-6)/(3-(-2)) = (-1)/5

More Information

1. y = x + 3
2. y = - x + 3
3. y = (7/3) x + 1
4. y = 3x + 3

Correct Answer Number: 2

Explanation: You must first determine the slope, which is - 1. Then use the formula for the point-slope method of writing equations of lines. y-y1=m(x-x1) Substitution gives y-2= -1(x-1). Solving for "y=" gives y = - x + 3.

More Information

x - y > 1
y < 2x - 1

1. (-1, - 1)
2. (-2, -1)
3. (0, - 1)
4. (0, - 2)

Correct Answer Number: 4

Explanation: You can graph this system of equations and see which point is in the solution set (which will be the overlapping shaded regions). Or you can simply substitute each answer into BOTH equations to see which answer makes BOTH inequalities true.

More Information

1. 1
2. 2
3. -1
4. -2

Correct Answer Number: 3

Explanation: 5c - 4 - 2c + 1 = 8c + 2
3c -3 = 8c + 2
-3 = 5c + 2
-5 = 5c
-1 = c

More Information

1. x < 3
2. x > 3
3. x < -5
4. x > -2

Correct Answer Number: 2

Explanation: 2x - 5 > x - 2
x - 5 > -2
x > 3
(the inequality sign changes directions only when you multiply or divide)

More Information

1. {-1,1}
2. {9}
3. {-9,9}
4. {81}

Correct Answer Number: 3

Explanation: Factor the difference of squares.
(y-9)(y+9)=0
y-9=0 and y=9
y+9=0 and y=-9

More Information

1. 3
2. 3/2
3. -3/2
4. 2

Correct Answer Number: 3

Explanation: Rewrite in y=mx+b form: 3x + 2y = 12
y=(-3/2)x+6 slope is the value in front of x.

More Information

1. x² + y² = 25
2. (x-1)² + (y+3)² = 25
3. (x-1)² + (y-3)² = 25
4. (x+1)² + (y - 3)² = 25

Correct Answer Number: 2

Explanation: The formula is (x-h)² + (y-k)² = r²
Be careful. The center coordinates are always subtracted from x and y. When you subtract a -3 it becomes a +3.

More Information

1. (3,5)
2. (-3,5)
3. (-3,-5)
4. (3,-5)

Correct Answer Number: 2

Explanation: Be careful! The (x+3) really shows a center coordinate of negative 3.

More Information

1. x = -2
2. x = 2
3. y = -2
4. y = 2

Correct Answer Number: 1

Explanation: There is a formula for finding this equation without graphing the parabola. Axis of symmetry is x=-b/(2a). So we have
x=(-12)/(2)(3)=-2

1. 2.5
2. 3.5
3. 3.6
4. 4.5

Correct Answer Number: 3

Explanation: 0.7x + 2(x-3)=0.2x + 3
0.7x + 2x - 6 = 0.2x +3
2.7x - 6 = 0.2x + 3
2.5x - 6 = 3
2.5x = 9
x=3.6

More Information

1. x=2
2. x=-2
3. y=5
4. y=-5

Correct Answer Number: 3

Explanation: y-y1=m(x-x1) gives y-5=0(x-2)
y-5=0 and y=5

More Information

1. 0
2. 1
3. -1
4. undefined

Correct Answer Number: 1

Explanation: A horizontal line has "run" but no "rise". Thus rise/run becomes 0/run which is zero.

More Information

1. 11/8
2. -11/8
3. 3
4. -3

Correct Answer Number: 4

Explanation: 8(m + 5) = 16 gives 8m + 40 = 16
8m = -24 and m = -3

More Information

1. -4/3
2. -3/4
3. 4/3
4. -1/3

Correct Answer Number: 1

Explanation: Slope is (Change in y values)/(Change in x values).
(-5-3)/(4-(-2)) = -8/6 = -4/3

More Information