vocab/labeling expressions
rational or irrational:
(1/7)/sqrt(7)
irrational
solve for n:
|n|=2
n={-2, 2}
Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had 1/4 of the total cake.
Write an equation to determine how many pieces of cake c there were in total.
Solve and graph
3(r-5)<=-3(5+r)
r<=0
solve for b
-8(-3b-4)-8b=3-3(-3-4b)
b=-5
rational or irrational:
(2/9)*(sqrt(25)/2)
rational
3x-4y=-20
y=5+0.75x
or
y=5+(3/4)x
Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.
a. Write an expression that represents the height of the plant after d days.
b. What will the height of the plant be after 20 days?
a. 5+1.5d
b. 35
Solve and graph
-7(1+2n)-8<5n-4(n-5)
-7<n
Solve for r
-3(3r-6)=-(7r+2)
r=10
7g+1
Coefficient(s):
Variable(s):
Constant:
Terms:
Coefficient(s): 7
Variable(s): g
Constant: 1
terms: 7g, 1
solve for x,
5x+3y=15
x=3-(3/5)y
or
x=3-0.6y
Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month and has a goal weight of 220 pounds.
a. Create an inequality to represent Mr. Thompson’s weight after m months.
b. Will Mr. Thompson reach his goal after 8 months? Justify your answer.
a. 260-4m<=220
b. 260-4*8=228, No because 228 is greater than 220, his goal weight.
Solve and graph
-16<8+8x<=56
-3<x<=6
(3x-1)/4 + 3 = 15
x=49/3
or
x=16.333....
What's the difference between a constant and a coefficient in an expression?
constant will not change when a number is plugged into the variable and is a number by itself. coefficient is the number in front of a variable.
solve for y,
x-2y=10
y=-5+x/2
or
y=-5+0.5x
A cell phone plan costs a flat monthly fee for unlimited calling plus an extra fee per gigabyte of data usage. The expression 2.50g+30 represent the total monthly bill.
a. What is the coefficient in the model and what does it represent?
b. What is the constant in the expression and what does it represent?
c. What is the variable in the expression and what does it represent?
a. 2.5-cost per gigabyte of data usage
b. 30-flat monthly rate for unlimited calling
c. g-# of gigabytes of data used.
solve and graph
1/4x>-2 or -2x>20
x>-8 or x<-10
Determine how many solutions
-8(x+3)=2(1-4x)
One solution of ______
No Solution
Infinitely Many Solutions
b. no solution
Label the parts of the expression:
4y+5x-z
Coefficient(s):
Variable(s):
Constant:
Terms:
Coefficient(s): 4, 5, & -1
Variable(s): y, x, & z
Constant: none
terms: 4y, 5x, -z (3)
|8+6x|-5=-1
x={-2/3, -2}
Max sells lemonade for $2 per cup and candy for $1.50 per bar. He earns $425 selling lemonade and candy.
a. Write a linear model that relates the number of cups of lemonade he sold to the number of bars of candy he sold. Use l to represent the number of cup of lemonade and c to represent the number of candy bars.
b. If Max sold 90 bars of candy, how many cups of lemonade did he sell?
a. 2L+1.5c=425
b.145 cups of lemonade
Solve and graph
3x-6<=-15 or x/2>0
x<=-3 or x>0
Determine how many solutions
8x+2(2x-4)=8(x-1)+2x
One solution of ______
No Solution
Infinitely Many Solutions
a. x=0