Mathematics
Algebra
Solve for x: 2x + 10 = 8.
A. 1
B. −2
C. 0
D. −1
Correct Answer: D
Subtract 10: 2x=−2; divide by 2: x=−1.
Mathematics
Algebra
Solve for x: 8x + 9 = −7.
A. −3
B. −2
C. 0
D. −1
Correct Answer: B
Subtract 9: 8x=−16; divide by 8: x=−2.
Mathematics
Algebra
Solve for x: 7x + 8 = −13.
A. −3
B. −1
C. −2
D. −4
Correct Answer: A
Subtract 8: 7x=−21; divide by 7: x=−3.
Mathematics
Algebra
Solve for x: 6x + 7 = −17.
A. −3
B. −2
C. −5
D. −4
Correct Answer: D
Subtract 7: 6x=−24; divide by 6: x=−4.
Mathematics
Algebra
Solve for x: 5x + 6 = −19.
A. −5
B. −4
C. −6
D. −3
Correct Answer: A
Subtract 6: 5x=−25; divide by 5: x=−5.
Mathematics
Algebra
Solve for x: 4x + 5 = −19.
A. −4
B. −7
C. −5
D. −6
Correct Answer: D
Subtract 5: 4x=−24; divide by 4: x=−6.
Mathematics
Algebra
Solve for x: 3x + 4 = −17.
A. −8
B. −7
C. −6
D. −5
Correct Answer: B
Subtract 4: 3x=−21; divide by 3: x=−7.
Mathematics
Algebra
Solve for x: 2x + 3 = −13.
A. −8
B. −9
C. −7
D. −6
Correct Answer: A
Subtract 3: 2x=−16; divide by 2: x=−8.
Mathematics
Algebra
Which operation is performed first in 3+2x² when x is known?
A. Subtraction
B. Addition
C. Exponentiation
D. Division
Correct Answer: C
Powers come before multiplication and addition.
Mathematics
Algebra
Which property justifies 3(x+4)=3x+12?
A. Associative property
B. Inverse property
C. Distributive property
D. Commutative property
Correct Answer: C
3 multiplies both terms.
Mathematics
Algebra
Which property gives a×0=0?
A. Associative property
B. Zero property of multiplication
C. Identity property
D. Inverse property
Correct Answer: B
Any number multiplied by zero is zero.
Mathematics
Algebra
For nonzero a, which property is illustrated by a×(1/a)=1?
A. Distributive property
B. Zero property
C. Additive inverse
D. Multiplicative inverse
Correct Answer: D
A nonzero number times its reciprocal is 1.
Mathematics
Algebra
Which property is illustrated by a+(−a)=0?
A. Associative property
B. Identity property
C. Additive inverse
D. Multiplicative inverse
Correct Answer: C
Opposites add to zero.
Mathematics
Algebra
Which property is illustrated by a×1=a?
A. Multiplicative inverse
B. Multiplicative identity
C. Commutative property
D. Additive identity
Correct Answer: B
One is the multiplicative identity.
Mathematics
Algebra
Which property is illustrated by a+0=a?
A. Distributive property
B. Additive inverse
C. Multiplicative identity
D. Additive identity
Correct Answer: D
Zero is the additive identity.
Mathematics
Algebra
Which property is illustrated by (ab)c=a(bc)?
A. Inverse property
B. Additive identity
C. Commutative property
D. Associative property of multiplication
Correct Answer: D
Only grouping changes.
Mathematics
Algebra
Which property is illustrated by ab=ba?
A. Commutative property of multiplication
B. Associative property
C. Zero property
D. Distributive property
Correct Answer: A
The order of factors changes.
Mathematics
Algebra
Which property is illustrated by (a+b)+c=a+(b+c)?
A. Commutative property of addition
B. Distributive property
C. Multiplicative identity
D. Associative property of addition
Correct Answer: D
Only grouping changes.
Mathematics
Algebra
Which expression represents 'the square of x decreased by 17'?
A. 2x-17
B. (x-17)²
C. x² − 17
D. x²+17
Correct Answer: C
Square x first, then subtract the number.
Mathematics
Algebra
Which expression represents 'the quotient of x plus 16 and 5'?
A. (x + 16)⁄5
B. x + 16⁄5
C. (x-16)⁄5
D. 5⁄(x+16)
Correct Answer: A
The whole quantity x+16 is divided by 5.