Download Algebra Practice test

Algebra Practice-Test
Multiple Choice : Show all steps for 2 marks per question (except #3)
Identify the letter of the choice that best completes the statement or answers the question.
____
____
____
1. Solve this equation.
a. 21
b. 5
c. 3
d. 12
2. Solve this equation.
a. 37
b. 23
c. 3
d. 11
3. A farmer has 56 of his cows out of the barn.
He has 83 cows altogether.
Let c represent the number of cows in the barn.
Write an equation to find how many cows are in the barn.
a.
b.
c.
____
4. The sum of 2 consecutive whole numbers is 35.
Write an equation that models this situation, and find the 2 numbers.
a.
;
;
b.
;
;
c.
;
;
d.
;
;
____
5. Solve this equation.
a. 7
b. 2
c. 17
d.
d. 12
Short Answer
6. Find the value of x on this two-pan balance.
a)
11
3
9
14
x
What mass is needed to balance this question?
b)
7g
6g
9 g
7. Find the value of x on this two-pan balance. Show your work.
x
x
3
x
5
6
8. 2 less than three times a number is 13.
Write and solve an equation to find the number.
9. Explain using an example and using algebra why this math-magic trick works.
Choose any number, add three to your number. Multiply your answer by 4 and
then add your original number to this. Subtract the last two digits of this year.
Divide this answer by 5. What do you get?
10 . i) What’s my rule?
ii) Use your rule to solve for the missing value.
a)
b)
input
2
3
4
25
output
10
12
14
iii) Write the rule for part a above using a different expression
input
-3
-5
-7
output
11.5
14.5
17.5
-8
Algebra Pre-Test
Answer Section
MULTIPLE CHOICE
1. ANS: C
2. ANS: A
3. ANS: D
4. ANS: D
5. ANS: A
SHORT ANSWER
6. ANS:
6b. ANS:
A mass of 8 g is needed for the left pan.
PROBLEM
7. ANS:
Sample:
Write this problem as an equation.
Remove x from each side of the equation.
Subtract 3 from each side of the equation.
8. ANS:
Let x represent the number.
9. You will get your original number back.
10.
a) Rule #1 is y = 2x + 6 or second way is 2( x + 3 )
b) Rule is y = -1.5 x +7