Ch ap t e r Test MathXL for School^
WZ? Go to PowerAlgebra.comDo y o u k n o w H OW?
Graph each function.- y = 3x2- 7
- y = -x2 - 2
- y = -2x2 + lOx - 1
- y = x2 - 3x + 2
Solve each equation.
- x2+ llx-26 = 0
- x2 - 25 = 0
- x2 - 19x+ 80 = -8
- x2 — 5x= —4x
- 4x2 - 100 = 0
- 5x2 - 8x = 8 - 5x
- Design You are creating a rectangular banner for a
school pep rally. You have 100 ft2 of paper, and you
want the length to be 15 ft longer than the width.
What should be the dimensions of the banner?
Find the number of real-number solutions of each
equation.
- x2 + 4x= -4
- x 2 + 8 = 0
- 3x2 —9x= —5
Solve each equation. If necessary, round to the nearest
hundredth.
- -3 x 2 + 7x= -10
- x2 + 4x = 1
- 12x2 + 16x — 28 = 0
- x2 + 6x + 9 = 25
19. Vertical M otion You throw a ball upward. Its height
la, in feet, after t seconds can be modeled by the
function h = —1612 + 30f + 6. After how many
seconds will it hit the ground? - Identify the graph at the right as
linear, quadratic, or exponential.
Write an equation that models
the data points shown.
Solve each system.- y = x2 + 3x - 23
y = 25 - 5x - y = x2 + 2x - 2
y = x + 10
Do y o u UN DERSTAN D?
- Writing Explain what you can determine about the
shape of a parabola from its equation alone. - Open-Ended Write an equation of a parabola that
has two x-intercepts and a maximum value. Include
a graph of your parabola. - Find a nonzero value of k such that
kx2 — lOx + 25 = 0 has one real-number solution. - Reasoning The graph
of a quadratic function
y = ax2 + bx + c is shown.
What do you know about the
values of a, b, and c just by
looking at the graph? - Geometry Suppose a rectangle has an area of 60 ft2
and dimensions, in feet, of x and x + 1.
a. Estimate each dimension of the rectangle to the
nearest foot.
b. Write a quadratic equation and use the quadratic
formula to find each dimension to the nearest
hundredth of a foot.
c
Po w erAlg eb ra.com | Chap t er 9 Chap t er Test 607