Grade 7 Mathematics โ€“ Algebraic expressions Quiz

1. Simplify. 7y + 8x - 4y + 6x.

17 xy
3y +14x
15xy - 2x
11y + 14x
Explanation:

2. Kelvin has x books, Eunice has y books and Jose has z books.How many books do they have altogether?

xyz
x + y
xy + z
x + y + z
Explanation:

3. A school has a male teachers,b female teachers,c boys and d girls.How many people are in the school altogether?

a+b+c+d
abcd
ab+cd
abc+ d
Explanation:

4. Form an algebraic expression from the statement below. q added to twice p.

2q + p
3pq
2pq
q +2p
Explanation:

5. Form an algebraic expression from the statement below. A jug holds 3litres less than a jerrican.If the jerrican holds y litres,what is the capacity of the jug?

3 litres
y - 3 litres
3-y litres
3y litres
Explanation:

6. Form an algebraic expression from the statement below. b added to 7

b7
7b
7b+ b
b + 7
Explanation:

7. Form an algebraic expression from the statement below. k subtracted from thrice m.

3mk
k -3m
3m - k
m-3k
Explanation:

8. Form an algebraic expression from the statement below. Twice y added to b and the result multiplied by 7.

(2y + b)ร— 7
2y + b ร— 7
2 +y + b ร— 7
(2 +y + b )ร— 7
Explanation:

9. The width of a rectangle is y cm and the length is 5cm more than the width.What is the perimeter of the rectangle?

10 + 2y cm
5 + y cm
4y + 10 cm
5y cm
Explanation:

10. Simplify. 3(4x + 4y) + 2(3x - 4y)

18x - 0y
12x +6x +12y-8y
18x + 4y
18x
Explanation:

11. Form an algebraic expression from the statement below. 6 more than a

a + 6
6a
6
a
Explanation:

12. Form an algebraic expression from the statement below. 12 less than y

12 - y
y -12
12 + y
12y
Explanation:

13. Form an algebraic expression from the statement below. m divided by 3 .

m/3
3 รท 3m
3/m
3m รท 1
Explanation:

14. Form an algebraic expression from the statement below. w divided by the sum of w and 12.

w / 1+12
w / 12
w/(w + 12)
2w / w + 12
Explanation:

15. Simplify. 2p + 5p + 6p

13
p + 3
13 + p
13p
Explanation:

16. Simplify. 4t + 6 - 2t

6t + 6
2t + 6
8t
6t -6
Explanation:

17. How many terms are in the algebraic expression? 2y + x + 4

3
5
4
2
Explanation:

18. An algebraic expression has an equals sign.

True
Maybe
Sometimes
False
Explanation:

19. Identify the coefficient in the expression. 6y + 7

1
6
6y
7
Explanation:

20. Identify the constant in the expression. 2y + x + 8 + 7p

1
8
7
2
Explanation:

21. How many terms are in the expression? 3x + 7+ p - 12

4
12
7
3
Explanation:

22. How many variables are in the equation? 7y + 2x + 8 = 29

3
5
4
2
Explanation:

23. Identify the constant in the expression. 2y + 5x + 12

5
2
x
12
Explanation:

24. The product of 7 and j increased by 3.

3+7j
3j+7
7j-3
7(j+3)
Explanation:

25. The quotient of a number and 8.

8g
g/8
g+8
8/g
Explanation:

26. Three times a number increased by nine.

3h-9
3(h-9)
3h+9
3(h+9)
Explanation:

27. g divided by 9.

g-9
9/g
g/9
9g
Explanation:

28. The product of 15 and c.

15 + c
15 - c
15c
15 / c
Explanation:

29. Write the phrase as an expression. "the product of a number m and 23".

m/23
m+23
23m
m-23
Explanation:

30. A combination of numbers, variables and operations with no equal sign is called.......

Equation
Coefficient
Expression
Variable
Explanation:

31. What is the definition of a coefficient?

The number in front of a variable that multiplies it
The little number or letter used to raise to a power
The number in back of a variable
The letter used to represent a quantity
Explanation:

32. In this expression, 2x + 6y - 10, which are the coefficients?

2, 6, and -10
-10
2 and 6
x and y
Explanation:

33. What is the definition of a constant?

The little number or letter used to raise to a power
The letter used to represent a quantity
The number in front of a variable
The number with no variable
Explanation:

34. In this equation, 4a - 10 = 9a, which is the constant?

4, 9, and -10
-10
4 and 9
4a and 9a
Explanation:

35. In this term, 3abc, what are the variables?

3
2
a, b, and c
3 and 2
Explanation:

36. What is a number multiplied by a variable?

Function
Origin
Coefficient
Variable
Explanation:

37. What is a Term?

The right side of an equation
A Termis either a single number or a variable, or numbers and variables multiplied together and separated from the others with addition or subtraction signs.
The exponent of the variables in the expression
A word for a number
Explanation:

38. Simplify: 5x - 6x - 8x + 7

-9x + 7
-9x - 7
9x - 7
9x + 7
Explanation:

39. Simplify: -1x + y - z + 10z + 2x - 10y

1x - 9z - 9y
-1x - 9 - 9y
-1x - 9z - 9y
1x - 9y + 9z
Explanation:

40. Let: x= 2 y= 4 z= -5 Evaluate: 2xz

200
-10
10
-20
Explanation:

41. Let: a= -2 b= 3 c= -4 Evaluate: ab + ac

-4
16
20
12
Explanation:

42. Let: x= -3 y= 4 z= -5 Evaluate: 2y - 5x

13
27
15
23
Explanation:

43. What is a good Verbal phrase for the following equation: 7 (x-2) = 18

Seven times x minus two is 18
Seven times something makes 18
Seven Brackets contain a sad difference of x and 2 is 18
The product of seven and the difference of a number and two is 18
Explanation:

44. Simplify using the product notation: 5 x 8y x 3z

16yz
18zy
120yz
40zy
Explanation:

45. Simplify the expression: 4y - 2y + 3y

6y
5y
7y
8y
Explanation:

Combining like terms, we get 4y - 2y + 3y = 5y

46. Evaluate the expression when x = 2: 2x + 5

7
8
9
10
Explanation:

Substitute x = 2 into the expression, we get 2(2) + 5 = 4 + 5 = 9

47. If 5x - 7 = 13, what is the value of x?

7
4
3
6
Explanation:

Add 7 to both sides of the equation: 5x - 7 + 7 = 13 + 7, then simplify to get 5x = 20. Divide by 5 on both sides: x = 4

48. Expand and simplify the expression: (2x + 3)(4x + 1)

8x^2 + 11x + 1
8x^2 + 10x + 1
8x^2 + 11x + 3x + 1
8x^2 + 11x + 3
Explanation:

Use the distributive property to multiply each term in the first expression by each term in the second expression, then combine like terms: 2x*4x + 2x*1 + 3*4x + 3*1 = 8x^2 + 2x + 12x + 3 = 8x^2 + 11x + 3

49. Simplify the expression: 6a^2 + 4a^2 - 3a

9a^2 - a
10a^2 - 3a
10a^2 - a
9a^2 - 3a
Explanation:

Combine like terms: 6a^2 + 4a^2 - 3a = 10a^2 - 3a

50. Which expression is equivalent to 2x(3x - 5)?

6x - 5
6x^2 - 5
6x^2 - 10x
3x^2 - 5
Explanation:

Use the distributive property to multiply 2x by each term inside the parentheses: 2x(3x - 5) = 2x*3x - 2x*5 = 6x^2 - 10x

51. What is the simplified form of 4(x + 2) - 3(2x - 1)?

5x - 11
x - 5
x + 5
5x + 11
Explanation:

Distribute and simplify the equation: 4(x + 2) - 3(2x - 1) = 4x + 8 - 6x + 3 = -2x + 11. Rearrange terms to get 5x + 11

52. What is the simplified form of the algebraic expression 3x + 2x - 5?

5x
5x - 5
6x
5x - 3
Explanation:

Combining like terms, 3x + 2x = 5x. Therefore, the simplified form is 5x.

53. Which of the following is equivalent to the expression 2a + 3b - 4a?

a + 3b
-2a + 3b
2a - b
5a + 7b
Explanation:

Combining like terms, 2a - 4a = -2a. Therefore, the equivalent expression is -2a + 3b.

54. Simplify the expression 4x - 3(2x - 5)

2x - 15
4x - 6x + 15
10x - 15
2x + 15
Explanation:

Distribute the negative 3 to both terms within the brackets: 4x - 6x + 15. Therefore, the simplified form is 4x - 6x + 15.

55. If a = 4 and b = 2, what is the value of the expression 3a - 2b?

6
12
10
2
Explanation:

Substitute the values of a and b into the expression: 3(4) - 2(2) = 12 - 4 = 8. Therefore, the value is 8.

56. What is the simplified form of the expression 5(2x - 3) + 4(3x + 2)?

26x - 1
26x + 1
26x - 7
26x + 7
Explanation:

Distribute and combine like terms: 10x - 15 + 12x + 8 = 22x - 7. Therefore, the simplified form is 22x - 7.