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Intermediate Algebra

Lynn Marecek

Chapter 9

Quadratic Equations and Functions - all with Video Answers

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Section 1

Solve Quadratic Equations Using the Square Root Property

Problem 1

In the following exercises, solve each equation.
$a^2=49$

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Problem 2

In the following exercises, solve each equation.
$b^2=144$

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Problem 3

In the following exercises, solve each equation.
$r^2-24=0$

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Problem 4

In the following exercises, solve each equation.
$t^2-75=0$

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Problem 5

In the following exercises, solve each equation.
$u^2-300=0$

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Problem 6

In the following exercises, solve each equation.
$v^2-80=0$

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Problem 7

In the following exercises, solve each equation.
$4 m^2=36$

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Problem 8

In the following exercises, solve each equation.
$3 n^2=48$

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Problem 9

In the following exercises, solve each equation.
$\frac{4}{3} x^2=48$

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Problem 10

In the following exercises, solve each equation.
$\frac{5}{3} y^2=60$

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Problem 11

In the following exercises, solve each equation.
$x^2+25=0$

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Problem 12

In the following exercises, solve each equation.
$y^2+64=0$

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Problem 13

In the following exercises, solve each equation.
$x^2+63=0$

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Problem 14

In the following exercises, solve each equation.
$y^2+45=0$

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Problem 15

In the following exercises, solve each equation.
$\frac{4}{3} x^2+2=110$

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Problem 16

In the following exercises, solve each equation.
$\frac{2}{3} y^2-8=-2$

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Problem 17

In the following exercises, solve each equation.
$\frac{2}{5} a^2+3=11$

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Problem 18

In the following exercises, solve each equation.
$\frac{3}{2} b^2-7=41$

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Problem 19

In the following exercises, solve each equation.
$7 p^2+10=26$

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Problem 20

In the following exercises, solve each equation.
$2 q^2+5=30$

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Problem 21

In the following exercises, solve each equation.
$5 y^2-7=25$

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Problem 22

In the following exercises, solve each equation.
$3 x^2-8=46$

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Problem 23

In the following exercises, solve each equation.
$(u-6)^2=64$

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Problem 24

In the following exercises, solve each equation.
$(v+10)^2=121$

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Problem 25

In the following exercises, solve each equation.
$(m-6)^2=20$

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Problem 26

In the following exercises, solve each equation.
$(n+5)^2=32$

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Problem 27

In the following exercises, solve each equation.
$\left(r-\frac{1}{2}\right)^2=\frac{3}{4}$

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Problem 28

In the following exercises, solve each equation.
$\left(x+\frac{1}{5}\right)^2=\frac{7}{25}$

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Problem 29

In the following exercises, solve each equation.
$\left(y+\frac{2}{3}\right)^2=\frac{8}{81}$

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Problem 30

In the following exercises, solve each equation.
$\left(t-\frac{5}{6}\right)^2=\frac{11}{25}$

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Problem 31

In the following exercises, solve each equation.
$(a-7)^2+5=55$

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Problem 32

In the following exercises, solve each equation.
$(b-1)^2-9=39$

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Problem 33

In the following exercises, solve each equation.
$4(x+3)^2-5=27$

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Problem 34

In the following exercises, solve each equation.
$5(x+3)^2-7=68$

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Problem 35

In the following exercises, solve each equation.
$(5 c+1)^2=-27$

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Problem 36

In the following exercises, solve each equation.
$(8 d-6)^2=-24$

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Problem 37

In the following exercises, solve each equation.
$(4 x-3)^2+11=-17$

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Problem 38

In the following exercises, solve each equation.
$(2 y+1)^2-5=-23$

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Problem 39

In the following exercises, solve each equation.
$m^2-4 m+4=8$

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Problem 40

In the following exercises, solve each equation.
$n^2+8 n+16=27$

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Problem 41

In the following exercises, solve each equation.
$x^2-6 x+9=12$

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Problem 42

In the following exercises, solve each equation.
$y^2+12 y+36=32$

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Problem 43

In the following exercises, solve each equation.
$25 x^2-30 x+9=36$

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Problem 44

In the following exercises, solve each equation.
$9 y^2+12 y+4=9$

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Problem 45

In the following exercises, solve each equation.
$36 x^2-24 x+4=81$

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Problem 46

In the following exercises, solve each equation.
$64 x^2+144 x+81=25$

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Problem 47

In the following exercises, solve using the Square Root Property.
$2 r^2=32$

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Problem 48

In the following exercises, solve using the Square Root Property.
$4 t^2=16$

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Problem 49

In the following exercises, solve using the Square Root Property.
$(a-4)^2=28$

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Problem 50

In the following exercises, solve using the Square Root Property.
$(b+7)^2=8$

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Problem 51

In the following exercises, solve using the Square Root Property.
$9 w^2-24 w+16=1$

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Problem 52

In the following exercises, solve using the Square Root Property.
$4 z^2+4 z+1=49$

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Problem 53

In the following exercises, solve using the Square Root Property.
$a^2-18=0$

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Problem 54

In the following exercises, solve using the Square Root Property.
$b^2-108=0$

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Problem 55

In the following exercises, solve using the Square Root Property.
$\left(p-\frac{1}{3}\right)^2=\frac{7}{9}$

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Problem 56

In the following exercises, solve using the Square Root Property.
$\left(q-\frac{3}{5}\right)^2=\frac{3}{4}$

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Problem 57

In the following exercises, solve using the Square Root Property.
$m^2+12=0$

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Problem 58

In the following exercises, solve using the Square Root Property.
$n^2+48=0$.

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Problem 59

In the following exercises, solve using the Square Root Property.
$u^2-14 u+49=72$

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Problem 60

In the following exercises, solve using the Square Root Property.
$v^2+18 v+81=50$

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Problem 61

In the following exercises, solve using the Square Root Property.
$(m-4)^2+3=15$

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Problem 62

In the following exercises, solve using the Square Root Property.
$(n-7)^2-8=64

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Problem 63

In the following exercises, solve using the Square Root Property.
$(x+5)^2=4$

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Problem 64

In the following exercises, solve using the Square Root Property.
$(y-4)^2=64$

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01:15

Problem 65

In the following exercises, solve using the Square Root Property.
$6 c^2+4=29$

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Problem 66

In the following exercises, solve using the Square Root Property.
$2 d^2-4=77$

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Problem 67

In the following exercises, solve using the Square Root Property.
$(x-6)^2+7=3$

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Problem 68

In the following exercises, solve using the Square Root Property.
$(y-4)^2+10=9$

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Problem 69

In your own words, explain the Square Root Property.

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Problem 70

In your own words, explain how to use the Square Root Property to solve the quadratic equation $(x+2)^2=16$.

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