Gr. 10 Math Review

Factoring

50

Factor x² + 10x +24

(x+4)(x+6)

100

Factor x² + x -12

(x-3)(x+4)

150

Factor x² - 16

(x+4)(x-4)

200

Factor 2x² + 7x - 15

(2x-3)(x+5)

250

Factor 2x² + 22x +48

2(x+3)(x+8)

Finding x-intercepts

50

State the x-intercepts of the quadratic:

y= (x - 5)(x+1)

x= 5

x= -1

100

State the x-intercepts of the quadratic:

    y= - 4(x - 2)(x - 4)

x= 2

x= 4

150

Use the quadratic formula to find x-intercepts:

x² + 4x - 21

x = 3

x = -7

200

Use the quadratic formula to find x-intercepts:

-x² + 5x + 6

x= - 1

x= 6

250

Use the quadratic formula to find x-intercepts:

2x² + 4x + 7

No solutions!

Expanding

50

Expand 3(x + 5)

3x + 15

100

Expand (x - 5)²

x² - 10x + 25

150

Expand (4x - 1)(x + 7)

4x² + 27x - 7

200

Expand 3(x + 4) + x

4x + 12

250

Expand 3(x - 2) + 2(x + 5)(x - 1)

2x² + 11x - 16

Substitution and Elimination

50

Solve using substitution or elimination:

y=2x+1

x+y=7

(x,y) = (2,5)

100

Solve using substitution or elimination:

x+y=10

x−y=2

(x,y)=(6,4)

150

Solve using substitution or elimination:

2x+y=93

x−y=6

(x,y) = (3,3)

200

Solve using substitution or elimination:

3x+2y=115

x−2y=13

(x,y) = (3,1)

250

Solve using substitution or elimination:

1/2x + 1/3y = 4

3/2x - 1/3y = 5

(x,y)=(3,6)

Random

50

Does the quadratic y = -2(x + 4)² + 3 include a stretch or compression?

Stretch

100

What is the radius of the circle x² + y² = 36?

r = 6

150

complete the square: y = x² + 6x + 11

y = (x + 3)² + 2

200

What is the equation of the cirlce centered at the origin and passing through the point (-3,4)?

x² + y² = 36

250

A quadratic has a vertex of (2,-6), a y-intercept of -4. The curve is upward. What is the vertex form equation of the quadratic?

y = 0.5(x - 2)² - 6