WorksheetsMATH 1ST GRADING 8A REVIEW
Total questions: 43
Worksheet time: 2hrs 31mins
What is the Quadratic Formula?
x=[-b±√(b²-4ac)/2a]
ax²+bx+c=0
b²-4ac
-b/a
Solve by either factoring or using the quadratic formula. x²-5x+6=0
x=2,x=3
x=-2,x=-3
x=2,x=-3
x=4,x=2
Solve the quadratic equation: x²-3x-4=0
x=-4,x=1
x=4,x=1
x=4,x=-1
x=-4,x=-1
Solve the equation: x²+4x+4=0
x=-4
x=-2
x=-4,x=0
x=4
Solve the quadratic equation: x²+6x-7=0
x=1,x=-7
x=7,x=-1
x=-7,x=-1
x=1,x=7
Solve the quadratic equation: 2x²-4x-6=0
x=3,x=-1
x=-3,x=1
x=3,x=2
x=-3,x=-2
What is the nature of the roots of the equation: x²+4x+5=0?
real, unequal and rational
real, unequal and irrational
imaginary and unequal
real and equal
Determine the nature of the roots for the quadratic equation 2x²-3x+1=0
real, unequal and rational
real, unequal and irrational
imaginary and unequal
real and equal
For the equation x²+x+1=0, what is the nature of the roots?
real, unequal and rational
real, unequal and irrational
imaginary and unequal
real and equal
For the equation x²-7x+12=0, what is the sum and product of the roots?
Sum=7, Product=12
Sum=-7, Product=12
Sum=7, Product=-12
Sum=-7, Product=-12
For the equation x²−5x+6=0, what is the sum and product of the roots?
Sum=5, Product=6
Sum=-5, Product=6
Sum=5, Product=-6
Sum=-5, Product=-6
For the equation x²-8x+15=0, what is the sum and product of the roots?
Sum=-8, Product=-15
Sum=-8, Product=15
Sum=8, Product=-15
Sum=8, Product=15
For the equation x²-10x+21=0, what is the sum and product of the roots?
Sum=-10, Product=-21
Sum=10, Product=21
Sum=10, Product=-21
Sum=-10, Product=21
For the equation 2x²−3x−5=0, what is the sum and product of the roots?
Sum=3/2, Product=-5/2
Sum=-3/2, Product=-5/2
Sum=3/2, Product=5/2
Sum=-3/2, Product=5/2
What is the Discriminant?
x=[-b±√(b²-4ac)/2a]
ax²+bx+c=0
b²-4ac
-b/a
For the equation 2(x+3)(x+1)=0, what are the values of x?
x=-1,x=-3
x=1,x=3
x=-2,x=-6
x=2,x=-3
Simplify the ratio 6 weeks: 1 month
3:2
1:2
3:4
2
Simplify the ratio 3:9
1:2
3:6
2:3
1:3
Proportion 5:7=10:14
80=80
60=60
70=70
50=50
1+1
1
1/2
0
2
24+8
32
23
40
36
32/2+6/2
19
16
12/4
16/4
6/4-5/6
3/5
2/3
6/2
2/4
10 divided by 1/2
5
10
20
15
(x+1)(x+1)
x²+2x+1
x²+x+2
x²+2x+22
x²+x+1
(x+1)(x+1)(x+1)
x³+6x²+6x+3
x³+3x²+3x+1
x³+4x²+4x+1
x³+9x²+9x+1
1+√(6)√(2)√(3)
7
6
undefined
2.73...
x²-25=0
x=±2
x=±5
x=±4
x=±10
x²+4x+8=0
x=−2+2i,x=-2-2i
x=-4+4i,x=-4-4i
x=-6+6i,x= -6-6i
x=-3+3i,x=-3-3i
Vertex form of Quadratic Functions
f(x)=ax²+bx+c=0,f(x)=(-b/2a)-4(a+c)
f(x)=ax²+bx+c=0,f(x)=a(x-h)²+k
f(x)=ax²+bx+c=0,f(x)=b²-4ac
f(x)=ax²+bx+c=0,f(x)=b²-2ac
h=
4ac
-b/2a
b²-4ac
(4ac-b²/4a)
k=
4ac
-b/2a
b²-4ac
(4ac-b²/4a)
Vertex form of the Quadratic Function: f(x)=x²-4x+2
f(x)=2(x-4)²-2
f(x)=4(x-2)²-2
f(x)=1(x-2)²-2
f(x)=4(x-4)²-2
In one variable is an expression that can be expressed in any of the following forms: i. ax²+bx+c>0 ii. ax²+bx+c<0 iii. ax²+bx+c≥0 iv. ax²+bx+c≤0 v. ax²+bx+c≠0 where a,b,and c are real numbers and a≠0
Quadratic Equation
Quadratic Function
Quadratic Theorem
Quadratic Inequality
A_ is a quadratic function defined by f(x)=ax²+bx+c where a,b, and c are real numbers and a≠0
Quadratic
Axis of Symmetry
Function
Formula
Pythagorean Theorem
a²+b²=c²
ax²+bx²=c²
y=mx+b
ax²+bx+c=0
Provides information about the nature of the roots
Quadratic formula
Variables
Discriminants
Constant terms
A number of physical quantities cannot be represented by a first-degree equation, function, or inequality.
True
False
Latin word that means squared.
quadrati
quadratus
squiri
squadratus
_ pertains to the operation of squaring or raising a number or an expression to the second power.
formula
vertex
quadratic
equation
If b≠0, the equation is a complete quadratic equation.
True
False
If b=0, the equation is a pure or incomplete quadratic equation.
True
False
Every quadratic equation in one variable has exactly two solutions or roots.
True
False
