Algebra Questions for Grade 10 with Solutions on Videos
Grade 10 algebra questions with answers presented at the bottom of the page and several questions has detailed solutions on videos..
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Which real numbers are equal to their cubes?
Solution on Video
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Write 4×10-2 as a decimal.
Solution on Video
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Write 0.12×10-3 as a decimal.
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Write 2 log3 x + log3 5 as a single logarithmic expression.
Solution on Video
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Factor the algebraic expression 6x2 - 21 x y + 8 x z - 28 y z.
Solution on Video
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Factor the algebraic expression (x - 1)2 - (y - 2)2.
Solution on Video
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Factor the algebraic expression x2 - z4.
Solution on Video
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Evaluate the algebraic expression |-2 x - y + 3| for x = 3 and y = 5
Solution on Video
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Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
Solution on Video
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Expand and simplify the algebraic expression (x + 3)(x - 3) - (-x - 9)
Solution on Video
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Which property is used to write a(x + y) = a x + a y
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Simplify ( 8 x3 ) / ( 2 x-3)
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Simplify (-a2b3)2(c2)0
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For what value of k is the point (-2, k) on the line with equation -3 x + 3 y = 4?
Solution on Video
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For what value of a will the system given below have no solutions ?
2 x + 6 y = -2
-3 x + a y = 4
Solution on Video
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Which equation best describes the relationship between x and y in this table?
x |
y |
0 |
-4 |
4 |
-20 |
-4 |
12 |
8 |
-36 |
A) y = - x/4 - 4
B) y = - x/4 + 4
C) y = - 4x - 4
D) y = - 4x + 4
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Which equation best represents the area of the rectangle below?
.
A) area = 2(x+1) + 2(x-1)
B) area = 4(x+1)(x-1)
C) area = 2x2
D) area = x2 - 1
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Which line given by its equation below contains the points (1, -1) and (3, 5)?
A) -2y -6x = 0
B) 2y = 6x - 8
C) y = 3x + 4
D) y = -3x + 4
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Solve the equation 2|3x - 2| - 3 = 7.
Solution on Video
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Solve for x the equation (1/2)x2 + mx - 2 = 0.
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For what values of k the equation -x2 + 2kx - 4 = 0 has one real solution?
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For what values of b the equation x2 - 4x + 4b = 0 has two real solutions?
Solution on Video
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Function f is described by the equation f (x) = -x2 + 7. What is the set of values of f(x) corresponding to the set for the independent variable x given by {1, 5, 7, 12}?
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Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is equal to the triple its width.
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Simplify: |- x| + |3 x| - |- 2 x| + 3|x|
Solution on Video
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If (x2 - y2) = 10 and (x + y) = 2, find x and y.
Solution on Video
Answers to the Above Questions
- 0 , 1 , -1 are all equal to their respective cubes.
- 0.04
- 0.00012
- = log3 x2 + log3 5 = log3(5x2)
- = 3x(2x - 7y) + 4z(2x - 7y) = (2x - 7y)(3x + 4z)
- = [(x - 1)- (y - 2)][(x - 1)+ (y - 2)] = (x - y + 1)(x + y - 3)
- = (x + z2)(x - z2)
- = |-2(3) - (5) + 3| = |-8| = 8
- = -2x + 6 -8x + 32 = -10x + 38
- = x2 - 9 + x + 9 = x2 + x
- distributivity
- 4 x6
- a4b6
- k = -2/3
- a = -9
- C. y = - 4x - 4
- D. area = (x + 1)(x - 1) = x2 - 1
- B. 2y = 6x - 8
- solution set : {7/3 , -1}
- solution set : {-m + sqrt(m2 + 4) , -m - sqrt(m2 + 4)}
- k = 2 , k = -2
- all values of b less than 1
- {6 , -18 , -42 , -137}
- width = 20 cm and length = 60 cm
- |-x| + |3x| - |-2x| + 3|x| = 5|x|
- x = 7 / 2 , y = - 3 / 2
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