Expressions and Equations
Simplify the expression:
-1x + 3x + 5 - 3
2x + 2
NO CALCULATOR!
-10 - 4
-14
Write 2x2x2x2x2x2 as a power.
26
Coffee costs $18.96 for 3 pounds. What is the unit rate? (Cost for 1 pound of coffee)
$6.32 per pound of coffee
My grandma Remark is 93. She has already had her birthday this year. What year was she born?
She was born in 1926.
(2019-93)
2(x + 3) +10x
2x + 6 + 10x
= 12x + 6
NO CALCULATOR!
-1.5 + -2.45
-3.95
Simplify:
x3x4
X7
NO CALCULATOR!
Kennedy is reading a book with 534 pages. She is on page 213. How many more pages does she have left?
321 pages
In the old days there were elevator operators to transport passengers. Bill Johnson always started his day in the basement. He went up 20 floors to take his boss some coffee. Then he went down 8 floors to take a Danish to a friend. He went up 7 floors to check things out. This was the halfway point in the building. How many floors are in this building? Draw a diagram to help you figure this out!
38 floors. B to coffee on floor 20, down to 12 for Danish, up to 19 to check. So there are 38 floors if 19 is half.
*40 floors if you assume "Basement" is level 1 not "0"
Solve the equation:
2x - 10 = -30
x = -5
Noah ate 1/8 of the pizza, Aiden ate 1/4 of the pizza and Wayne ate 1/2 of the pizza. How much of the pizza did they eat all together?
1/8 + 1/4 + 1/2 =
1/8 + 2/8 + 4/8 = 7/8 of the pizza
-1,5340
1
(Any number to the zero power is 1)
Emma bought a drink for $2 and some bananas that cost $0.30 each. She spent $2.90. How many bananas did she buy?
$2 + $0.30b = $2.90
$0.30b = $0.90
b = 3 bananas
List 10 possible combinations you could get with 4 darts. The numbers on the targets are 7-5-3-1. Try to establish some logical method of doing this.
Any 10 of these combinations:
7-7-7-7; 5-5-5-5; 3-3-3-3; 1-1-1-1; 7-7-7-5; 7-7-7-3; 7-7-7-1; 7-7-5-5; 7-7-3-3; 7-7-1-1; 7-7-5-3; 7-7-5-1; 7-7-3-1; 7-5-5-5; 7-3-3-3; 7-1-1-1; 7-5-3-3; 7-5-1-1; 7-5-5-3; 7-5-5-1; 7-5-3-1
3x - 4 + 5 = 7
x = 2
NO CALCULATOR!
2/6 x 2/9
2x 2 = 4 and 6x9 = 54
so 4/54 or 2/27
2m3*5m5
10m8
A family of four goes to the movie theater and spends $30.50. They buy 2 tickets for children at $3.50 per ticket, 2 tickets for adults, and 3 boxes of popcorn at $2.50 per box. What is the cost of one adult movie ticket?
2($3.50) + 2x + 3($2.50) = $30.50
$7 + 2x + $7.50 = $30.50
2x + $14.50 = $30.50
2x = $16
x=$8
An adult ticket is $8.
What day would yesterday be if Friday was 4 days before the day after tomorrow?
Yesterday was Saturday. (Today is Sunday, the day after tomorrow is Tuesday, and Friday is 4 days before Tuesday)
36/12 divided by 3/2
36/12 = 3 and 3/2 = 1.5 so 3 divided by 1.5.
= 2
Multiply the Scientific Numbers:
(2.1 x 103) x (4 x 104)
8.4 x 107
Trisha's Taxi Service charges $1.50 for the first mile and $0.90 for each additional mile. How far could I go for $20 if I plan to give her a $2 tip?
$1.50 + $0.90m + $2 = 20
$3.50 +0.90m = $20
$0.90m = $16.50
m= 18.3333
Since the charge it per mile (not partial miles), I can go 18 miles at most.
Groups of campers were going to an island. On the first day 10 went over and 2 came back (leaving 8 campers on the island) On the second day, 12 went over and 3 came back. On the third day, 14 went over and 4 came back. If this pattern continues, how many campers will be on the island at the end of a week? How many will be left (on the mainland)?
The pattern for the number of people on the island each day is 8, 9, 10, 11, 12, 13, 14, so there will be 77 people at the end of the week.
The pattern for the number of people on the mainland is 2, 3, 4, 5, 6, 7, 8, so there will be 35 people at the end of the week.