Algebra - practice problems - page 5 of 292
Number of problems found: 5828
- Emily 2
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to represent Emily's number.
- Four friends 2
Four friends attend a school play and pay $6.75 per ticket. Each also buys a healthy snack bag sold by the theater club. If the friends spent a total of $37.00, how much did each healthy snack bag cost, b?
- LCM or HCF
Find the lowest common multiple of these two numbers: 105 226
- Jason 4
Jason spent 1/2 of his money on paper and 1/3 of it on pencils. How much money did he start with if he had 15.00 left?
- Properties of eq2 roots
If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 - 7x + 3, find the value of p + q - pq.
- Difference of expressions
Find an expression that represents the difference when (3x+1) is subtracted from (-9x+1) in simplest terms.
- Sam's
Sam's age is x. His sister Jo is 2 years more than 1.1 times his age. Question: What is Jo's age in terms of x? Write an equation to find x if the sum of Sam's and Jo's ages is 44.
- Multiplied and subtracted
When a number is multiplied by ⅔ and subtracted from 7, the result is 2⅓. What is the number?
- Overdraft account
Many bank accounts never go below zero. However, some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account, to begin with. Hannah's account we
- The sum 40
The sum of the two numbers is 75. If the smaller number is 20 more than 1/5 of the larger number, find those two numbers. The large number is x, and the small number is y.
- Solve 25
Solve for a in (a+8)/2-3(a+10)/5=1.
- Equation 94
If 9 more than twice a number is 3 less than 3 times the same number. What is the number?
- The pole in the mud
4/7 of a pole is in the mud. When 1/3 of it is pulled out, an 8 m long piece of the pole still remains in the mud. What is the full length of the pole?
- Two fractions
The fractions 10/3 and 10/X give the same answer when multiplied as they do when they are added. Find the value X.
- Fredrik
Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
- Evaluate complex eq
If z=x+yi and 3x+(3x-y)i=4-6i then z=
- A man 14
A man gave 1/3 of his wealth to his wife, 2/3 of the remaining to his daughter, and divided the remaining between his two sons equally. If the daughter received Rs 3000000 more than one of the sons, find the value of the father's property.
- Elton
Elton is n years old now. How old was he 8 years ago? How old will he be 16 years from now? If his age in 16 years time will be four times his age 8 years ago, how old is he now?
- A man 13
A man traveled 7/10 th of his journey by train, half of the remaining by bus, and the remaining 30km by car. Calculate the length of the whole journey.
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