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..

Which real numbers are equal to their cubes?
Solution on Video

Write 4×10^{2} as a decimal.
Solution on Video

Write 0.12×10^{3} as a decimal.

Write 2 log_{3} x + log_{3} 5 as a single logarithmic expression.
Solution on Video

Factor the algebraic expression 6x^{2}  21 x y + 8 x z  28 y z.
Solution on Video

Factor the algebraic expression (x  1)^{2}  (y  2)^{2}.
Solution on Video

Factor the algebraic expression x^{2}  z^{4}.
Solution on Video

Evaluate the algebraic expression 2 x  y + 3 for x = 3 and y = 5
Solution on Video

Simplify the algebraic expression 2(x  3) + 4(2 x + 8)
Solution on Video

Expand and simplify the algebraic expression (x + 3)(x  3)  (x  9)
Solution on Video

Which property is used to write a(x + y) = a x + a y

Simplify ( 8 x^{3} ) / ( 2 x^{3})

Simplify (a^{2}b^{3})^{2}(c^{2})^{0}

For what value of k is the point (2, k) on the line with equation 3 x + 3 y = 4?
Solution on Video

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

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

Which equation best represents the area of the rectangle below?
.
A) area = 2(x+1) + 2(x1)
B) area = 4(x+1)(x1)
C) area = 2x^{2}
D) area = x^{2}  1

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

Solve the equation 23x  2  3 = 7.
Solution on Video

Solve for x the equation (1/2)x^{2} + mx  2 = 0.

For what values of k the equation x^{2} + 2kx  4 = 0 has one real solution?

For what values of b the equation x^{2}  4x + 4b = 0 has two real solutions?
Solution on Video

Function f is described by the equation f (x) = x^{2} + 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}?

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.

Simplify:  x + 3 x   2 x + 3x
Solution on Video


If (x^{2}  y^{2}) = 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
 = log_{3} x^{2} + log_{3} 5 = log_{3}(5x^{2})
 = 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 + z^{2})(x  z^{2})
 = 2(3)  (5) + 3 = 8 = 8
 = 2x + 6 8x + 32 = 10x + 38
 = x^{2}  9 + x + 9 = x^{2} + x
 distributivity
 4 x^{6}
 a^{4}b^{6}
 k = 2/3
 a = 9
 C. y =  4x  4
 D. area = (x + 1)(x  1) = x^{2}  1
 B. 2y = 6x  8
 solution set : {7/3 , 1}
 solution set : {m + sqrt(m^{2} + 4) , m  sqrt(m^{2} + 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 + 3x = 5x
 x = 7 / 2 , y =  3 / 2
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