Grade 10 algebra questions with answers are presented.

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.

Factor the algebraic expression 6x^{2}  21xy + 8xz  28yz.
Solution on Video

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

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

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

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

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

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

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 3x + 3y = 4?

For what value of a will the system given below have no solutions?
2x + 6y = 2
3x + ay = 4

Which equation best describes the relationship between x and y in this table?
x 
y 
0 
4 
4 
20 
4 
12 
8 
36 
 y =  x/4  4
 y =  x/4 + 4
 y =  4x  4
 y =  4x + 4

Which equation best represents the area of the rectangle below?
.
 area = 2(x+1) + 2(x1)
 area = 4(x+1)(x1)

area = 2x^{2}

area = x^{2}  1

Which line given by its equation below contains the points (1, 1) and (3, 5)?
 2y 6x = 0
 2y = 6x  8
 y = 3x + 4
 y = 3x + 4

Solve the equation 23x  2  3 = 7.

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?

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 triple its width.

Simplify: x + 3x  2x + 3x

If (x^{2}  y^{2}) = 10 and (x + y) = 2, find x and y.


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