Sample QuestionsAlgebraic Expressions questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The coefficient of $x^2$ in $-\frac53\text{x}^2\text{y}$ is equal to:
- A
$-\frac53$
- ✓
$-\frac53\text{y}$
- C
$\frac53$
- D
$\frac53\text{y}$
Answer: B.
View full solution →If $\mathrm{a}, \mathrm{b}$ and c are respectively the coefficients of $\mathrm{x}^2$ in $-x^2, 2 x^2+x$ and $2 x-x^2$, respectively, then $a+b+c=$
Answer: A.
View full solution →How much is $-2 x^2+x+1$ less than $x^2+2 x-3$ ?
- A
$-x^2+3 x-2$
- ✓
$3 x^2+x-4$
- C
$-3 x^2-x+4$
- D
$3 x^2+3 x-4$
Answer: B.
View full solution →What should be added to $3 x^2+4$ to get $9 x^2-7 ?$
- ✓
$6 x^2-11$
- B
$6 x^2+11$
- C
$12 x^2-11$
- D
$12 x^2+11$
Answer: A.
View full solution →Which of the following is not a monomial?
- ✓
$2 x^2+1$
- B
$3 x^4$
- C
$ab$
- D
$x^2 y$
Answer: A.
View full solution →Write all the terms of the following algebraic expressions: $3x$
View full solution →Evaluate the following algebraic expressions for $x = 1, y = -1, z = 2, a = -2, b = 1, c = -2:$
$a x^2+b y^2-c z$
View full solution →Write the coefficient of:
$x^3$ in $x^3+1$
View full solution →Place the last two terms of the following expressions in parentheses preceded by a minus sign: $3x - 2y - 5z - 4$
View full solution →Write all the terms of the following algebraic expressions:
$2 x^2-7$
View full solution →Add the following: $2 x^2 y,-4 x^2 y, 6 x^2 y,-5 x^2 y$
View full solution →Add the following expressions:
$5 x^3+7+6 x-5 x^2, 2 x^2-8-9 x, 4 x-2 x^2+3 x^3, 3 x^3-9 x-x^2$ and $x-x^2-x^3-4$
View full solution →Evaluate the following expressions for $x = -2, y = -1, z = 3$: $\text{x}^2+\text{y}^2+\text{z}^2-\text{xy}-\text{yz}-\text{zx}$
View full solution →Add the following expressions:
$x^3-2 x^2 y+3 x y^2-y^3, 2 x^3-5 x y^2+3 x^2 y-4 y^3$
View full solution →Add the following: $7abc, -5abc, 9abc, -8abc$
View full solution →If $P=a^2-b^2+2 a b, Q=a^2+4 b^2-6 a b, R=b^2+b, S=a^2-4 a b$ and $T=-2 a^2+b^2-a b+a$. Find $P+Q+R+S-T$.
View full solution →How much does $a^2-3 a b+2 b^2$ exceed $2 a^2-7 a b+9 b^2 ?$
View full solution →From the sum of $3 x^2-5 x+2$ and $-5 x^2-8 x+9$ subtract $4 x^2-7 x+9$
View full solution →What must be added to $12 x^3-4 x^2+3 x-7$ to make the sum $x^3+2 x^2-3 x+2$ ?
View full solution →If $P=7 x^2+5 x y-9 y^2, Q=4 y^2-3 x^2-6 x y$ and $R=-4 x^2+x y+5 y^2$, show that $P+Q+R=0$.
View full solution →Subtract: $6 x^3-7 x^2+5 x-3$ from $4-5 x+6 x^2-8 x^3$
View full solution →Simplify the following algebraic expressions by removing grouping symbols: $2a - [4b - {4a - 3(2a - b)}]$
View full solution →From, $x^3-5 x^2+3 x+1$, take away $6 x^2-4 x^3+5+3 x$
View full solution →From, $7+x-x^2$, take away $9+x+3 x^2+7 x^3$
View full solution →From, $1-5 y^2$, take away $y^3+7 y^2+y+1$
View full solution →