algebra
Evaluate the algebraic expression for x + -2 =3
5
area = 327 square cm , volume = 393 cubic cm
When you graph a system of linear equations, why does the intersection of the two lines represent the solution of the system?
To solve a system of linear equations means finding the solutions that satisfy all the equations of that system. When we graph a system of linear equations, the intersection point lies on the line of each equation, which means that satisfies all the equations. Therefore, it is considered to be the solution to that system
The girl’s hockey team won 6 games, lost 3 games, and tied 2 games. What fraction of games did they win
You need to add 6, 3 and 2 to find that the total number of games is 11. The total won is 6/11
9c + 1 = 10
c = 1
what is the squar root of √64
8
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and caps cost $3 each.
a. Write a system of equations to describe the situation. Let x represent the number of shirts and let y represent the number of caps.
6x + 3y = 36
In a full set of permanent teeth, ¼ of the teeth are incisors, ¼ are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars and molars
You need to add the fractions of each tooth type. The answer is 7/8
6y – 5 = 7
y = 2
√729=?
27
Multi-Step Jeremy runs 7 miles per week and increases his distance by 1 mile each week. Tony runs 3 miles per week and increases his distance by 2 miles each week. In how many weeks will Jeremy and Tony be running the same distance? What will that distance be
After 4 weeks Jeremy and Tony will be running the same distance and that distance would be 11 miles.
Chad made a snack by combining 1/3 of a bowl of granola with ¼ of a bowl of chopped banana and ½ of a bowl of yoghurt. Did one bowl hold all of the ingredients at one time? Explain
First you need to add the fractions of each ingredient. The total is 13/12. Because this is an improper fraction we know that the ingredients fill more than one bowl.
17 – q = 6
q = 11
68% of 700
476
The side of cube A is 3 times the side of cube B. The volume of cube A is 3,375 cubic feet. Find the volume of cube B
How can you decide which variable to solve for first when you are solving a linear system by substitution?
The variable with the unit coefficient should be solved first when solving a linear system by substitution.
In the first two hockey games of the year, Rodayo played 1 ½ periods and 1 ¾ periods. How many periods in all did he play?
You need to add the fractions. The total is 13/4 or 3 ¼ periods of play
42 + 5t = 8t
t = 14
85% of 520
442
Question 13.
Represent Real-World Problems A jar contains n nickels and d dimes. There is a total of 200 coins in the jar. The value of the coins is $14.00. How many nickels and how many dimes are in the jar?
________ nickels
________ dimes
120 nickels
80 dimes
Mara spent 3/5 of her vacation in British Columbia. While in that province, she spent ½ of her time in Vancouver. What fraction of her vacation did Michaela spend in Vancouver? If her vacation lasted 20 days, how many days did she spend in Vancouver
First you need to find what ½ of 3/5 is. Remember that “of” means “x” so this is a multiplication question and the answer is 3/10 of her vacation in Vancouver.
1 + 2r = 3
r = 1