Graph the solution to the inequality on a number line:
x+5<4.
See graph on board for x<-1.
100
Name two methods we can use to solve a system of equations algebraically.
Substitution and Elimination
100
Find the integer k that satisfies:
√24=k * √6
k=2
100
True or False:
The input of a function may have more than one output.
False. Every input must have one output.
200
Combine like terms to simplify the expression:
15y^2+9x+z+y(1-y)-8x
14y^2+x+y+z
200
1) Where do the lines y=13 and x=4 intersect?
2) Which of the above lines has an undefined slope and which one has a slope of 0?
1) They intersect at the point (4,13).
2) x=4 has undefined slope.
y=13 has 0 slope.
200
When you solve a system of linear equations, your solution should be a coordinate point. What does this point represent?
Where the two lines intersect.
200
Simplify the following exponential expressions:
a) x^6 * x^4
b) x^6 / x^4
c) x^(-4)/x^6
a) x^10
b)x^2
c)1/x^10
200
Use the function f(x)=x/2+1 to evaluate:
a) f(-2)
b) f(0)
c) f(3)
a) 0
b) 1
c) 5/2
300
Solve for x:
4x-9+2(x-7)=x-3
x=4
300
1) Write an equation for a line that is parallel to y=7x-3.
2) Write an equation for a line that intersects y=-(1/7)x-3.
1) Any linear equation with slope 7.
2) Any linear equation with slope NOT -(1/7).
300
Use elimination to solve the linear system. Show your work!
2x-3y=6
x+3y=3
(3,0)
300
Find the integer k that satisfies:
√2*√k=2
k=2
300
What is the domain of the function y=2*√(x-7)?
x greater than or equal to 7.
400
Mary has one-sixth as many marbles as John has.
Sarah has three times as many marbles as Bill has.
Write an expression that represents the total number of marbles Mary and Sarah have combined.
(1/6)J+ 3B
400
Find the x-intercept and the y-intercept for the following equation:
y-17=x
x-int: (-17,0)
y-int: (0,17)
400
Use substitution to solve the linear system. Show your work!
4x+7y=11
x+y=2
(1,1)
400
Simplify the expression:
(12m^2*n*q^2)/((5q^3)^2*m)
12mn/25q^4
400
Find the recursive and closed form formulas for the linear function described by the input/output table.
Input Output
2 5
3 9
4 13
5 17
closed form: f(x)=4x-3
recursive form: f(x)= -3 if x=0
f(x-1)+4 if x>0
500
Use an equation to solve the problem below:
The width of a rectangle is 5 times the length of the rectangle. If the perimeter of the rectangle is 120cm, what is the width? What is the length?
expression: 5x+5x+x+x=120
width: 50 cm
length: 10 cm
500
Graph the solutions to the following inequalities on a number line:
1) |x+11|<3
2) |x+11|>3
See graph on board for:
1) -14 < x < -8
2) x<-14 and x>-8
500
Use a system of linear equations to solve.
Alex places three red boxes and one yellow box on a scale. The scale reads 25 lbs. He then places one red box and three yellow boxes on the scale. This time it reads 35 lbs.
What is the weight of one red box? What is the weight of one yellow box?